Tan 315 reference angle. Notice that 30 ∘ is the reference angle for many angles.

Tan 315 reference angle Question: Find the reference angle and the exact value of the tangent, if it exists. The reference angle is 45 degrees. Nov 5, 2024 · The Reference Angle Calculator serves in finding the reference angle. Here's how to find reference angles: For angles in the first quadrant, the reference angle is the angle itself. All you have to do is simply input any positive angle into the field, and this calculator will find the reference angle for you. sin 𝜋 4. CSC 210° 37. Find the Reference Angle 315. com Without using a calculator, compute the sine, cosine, and tangent of 315° by using the reference angle. Observe the quadrant where the terminal side of the original angle is located. Therefore, will be the negative value of . This angle lies in QIV. Step 1 : If the angle is outside [0 °, 360 °) Keep adding/subtracting 360 ° till the angle is inside the interval [0 °, 360 °) \text{\color{#4257b2}Step 1 : If the angle is outside $\left[0\text{\textdegree}, 360\text{\textdegree} \right)$ $ $ Keep adding/subtracting $360\text{\textdegree Considering that the reference angles have the same absolute value of the sine and cosine, the idea is to find the sine and the cosine value of the reference angle of the angle of 31 5 ∘ 315^\circ 31 5 ∘, and then determine the sign according to the quadrant where the angle of 31 5 ∘ 315^\circ 31 5 ∘ is located. See full list on cuemath. Find the Exact Value sin(315) Step 1. Its terminal side lies on the 3rd quadrant. What is tan (-315°)? Find the reference angle and the exact function value if they exist. tan(−315)° 18. For negative angles add 360 degrees instead. Step 2. Using the cosine reference angle: cos (30 0 ∘ May 23, 2018 · This video explains how to determine the sine, cosine, tangent, cosecant, secand, and cotangent function values of 315 degrees using a reference triangle and Jun 26, 2019 · So I converted the angle from radians to degrees to get 315. tan 20. Find the Exact Value tan(135) Step 1. Once we know the reference angle, we can use the trigonometric ratios of the reference Oct 10, 2015 · Find sec 315 Ans: sqrt2 sec (315) = 1/(cos 315). Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step To find the reference angle keep subtracting 360 degrees from the given angle until it lies between ${0^ \circ }$ and ${360^ \circ }$. com Jun 7, 2018 · t = 315^@ Positive angle reference --> 315 - 180 = 135^@ Negative angle reference --> 315 - 360 = - 45^@ To find the reference angle for 315 degrees, we subtract 315 degrees from 360 degrees (one complete revolution). Calculate tan(315) tan is found using Opposite/Adjacent. (a) Draw the angle and identify the reference angle. Special Angle Values Simplify tan(315) Step 1. Evaluate tan(315 degrees ) Step 1. \ In the fourth quadrant subtract the angle from \(360°\). The reference angle is O B. Now, We can convert the angle measurement to degrees first since it is in radians. ) 315. Well, the reference angle is the angle [the one which is the smallest] between the #x#-axis and the terminal side. 315° is in Quadrant IV and has a reference angle of 360 - 315 = 45°. √3/2. Using Reference Angles to Evaluate Trigonometric Functions. Section 6. 9. ). \ \For example, given \(\theta = 315°\), since it's in the fourth quadrant, the reference angle calculation is \(360° - 315° = 45°\). Apr 5, 2016 · A reference angle is the angle between the terminal arm of your angle, theta and the x axis. Evaluate a trigonometric function at a non-acute angle using the reference angle. Find the Reference Angle tan(315 degrees ) Step 1. cot 315 Evaluate: tan 225 ∘-1. Which quadrant contains the terminal side of O? Quadrant 1 Quadrant II Quadrant III Quadrant IV Find the reference angle ' in degrees. For example, if you have an angle of 150°, its reference angle is 180° - 150° = 30°. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Apr 27, 2017 · The reference angle is, 45°. Jan 21, 2020 · Well, in this lesson we dig deeper and talk all about Reference Angles and also Reciprocal Trig Functions. What is Meant by the Reference Angle? In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. sin(−𝜋 3) 28. Make the expression negative because sine is negative in the fourth quadrant . Cos 315 degrees in radians is written as cos (315° × π/180°), i. O A. θ′= Evaluate the sine, cosine, and tangent sin(θ)= cos(θ)= tan(θ)= Given an angle not in the first quadrant, use reference angles to find all six trigonometric functions. tan(315) = -1. Thus, the angle J does not have a reference angle. \sin 495^\circ; Use reference angles to find the exact value of each expression. Considering that the reference angles have the same absolute value of the sine and cosine, the idea is to find the sine and the cosine value of the reference angle of the angle of − 31 5 ∘-315^\circ − 31 5 ∘, and then determine the sign according to the quadrant where the angle of − 31 5 ∘-315^\circ − 31 5 ∘ is located. It is always between 0° and 90°, regardless of which quadrant the original angle resides in. It turns out that angles that have the same reference angles always have the same trig function values (the sign may vary). The terminal side of angle 315 is lying in 4th quadrant. tan 225° 31. sin(−330)° 16. tan(θ) = -tan(45 degrees) We know that tan(45 degrees) is 1, so: tan(θ) = -(1) Therefore, the value of tan(θ) for θ . First, we need to find the reference angle for . This reference angle helps us apply known trigonometric ratios. 1. cos(11\pi/6) 2. is in the fourth quadrant. That is, memorization of … Now, let us find its reference angle. The word reference is used because all angles can refer to QI. To find the reference angle, you measure the angle to the nearest x-axis. cos(−11𝜋 6) 29. Calculate sin 315 ° by using the fact that sine is negative in Quadrant IV. 2 Reference and Special Angles Feb 19, 2024 · In addition to learning the values for special angles, we can use reference angles to find (x, y) (x, y) coordinates of any point on the unit circle, using what we know of reference angles along with the identities. tan 4 23. From the unit circle, we know that: tan ⁡ 4 5 ∘ To find the value of sine, cosine and tangent at non-acute angles (from 90 to 360), first draw the angle on the unit circle and find the reference angle. cos60° 11. tan 7𝜋 4 27. The angle between x-axis and its terminal side is 360-315 = 45 degrees **The reference angle of 315 degree or 4 7 π is 45 degrees. To calculate tan 315 degrees insert the angle 315 in the field labelled °, but if you want to calculate tan 315 in radians, then you have to press the swap unit button first. This angle helps in finding trigonometric values when dealing with angles not in the first quadrant. Which of the following is a reference angle for -225 Sep 22, 2023 · α = 360 - 315. When finding the sine, cosine, tangent, or other trigonometric function of an angle, the value is the same for the given angle and the reference angle. (Type sqrt(2) Now, we can apply the trigonometric rules for conversion of trigonometric expressions by changing its angle. Evaluate the sine, cosine, and tangent of 315° by using the following steps. ⇒ 7π/4 × 180 / π . Therefore the ordered pair is (0, -1) and the cosine value is 0. CSC 19. Study with Quizlet and memorize flashcards containing terms like Which quadrant contains -11pi/18 and what is the reference angle? II, 7pi/18 III, 7pi/18 II, 11pi/18 III, 11pi/18, Which of the following angles has a reference angle of 30 ° 120° 150° 240° 315°, Find tan Ø, given that sin Ø = - 4/5 and cos Ø>0. ** **Now, ** tan 315 = tan (360 − 45) tan 315 = − tan (45) (tan is Use reference angles to find the exact value of sin(-240 degrees). 2. \small \text{Figure $2$. Reference Angles: Associated with every angle drawn in standard position (except quadrantal angles) there is another angle called the reference angle. The reference angle of any angle always lies between 0 and π/2 (both inclusive). 2 Reference and Special Angles Find the reference angle. cot 240° 34. 1. Basically, a reference angle is a positive acute angle that is formed by the terminal side of a given angle and the x-axis. a. tan(-315°)What is the reference angle? Select the correct choice below and fill in any answer boxes within your choice. Aug 3, 2023 · Normally, the four trigonometric functions: sine, cosine, tangent, and cotangent give the same value for an angle and its reference angle. So for example sin(45) = 0. ⇒ tan 405° = tan 585° = tan 765°, and so on. Here, the reference angle is found by subtracting the given angle from 360°: 315° - 360° = -45°. The reference angle is a 45 degree angle, since 360 - 315 = 45. Determine quadrant: Since 270 315 360 degrees it is located in Quadrant IV. csc(−270)° 19. Make the expression negative because tangent is negative in the second quadrant . If you want tangent 315° with higher accuracy, then use the calculator below; our tool displays ten decimal places. A reference angle is formed by the terminal side and the x-axis and will therefore always be acute. Thus positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants. )What is the reference angle? degrees. For example, if we have an angle of 315°, we determine the reference angle by subtracting it from 360°, resulting in a 45° reference angle. cos is positive. (Type sqrt(2) for 2 and sqrt(3) for 3. (Type sqrt(2) for 22 and sqrt(3) for 32. The given angle is not quadrantal, so the reference angle isB. Since, 315° is located in quadrant IV, Hence, to get the reference angle, subtract 315° from 360°. ) cos315∘= (Simplify your answer. Plus, learn the reference angle formulas. The reference angle is . The exact Finding Reference Angle {\color{#4257b2}\textbf{Finding Reference Angle}} Finding Reference Angle. 3. 77 511 29. 707. Therefore, its reference angle can be acquired by subtracting 18 0 ∘ 180^\circ 18 0 ∘ from the coterminal angle. cos(−135) ° 17. Without using a calculator, compute the sine, cosine, and tangent of 315 by using the reference angle. A. In exercises, reference angles help us find the trigonometric values using known special angles. Now, calculate the trigonometric function sine and cosine for the angle using the reference angle. Find an angle that is positive, less than , and coterminal with . For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Calculate tan(315) tan is found using Opposite/Adjacent. 4 days ago · Therefore we say that 30 ∘ is the reference angle for 150 ∘. √3/3 Evaluate: cos 315 √2/2-1-√2/2. Therefore, the reference angle for 315 degrees is 45 degrees. Add to . The reference angle of the Special Angles of , 4 5, 4 3, 4 S S S r r r and A reference angle is the smallest angle between the terminal side of a given angle and the x-axis. Tricks to Find Reference Angles: We use the reference angle to find the values of trigonometric functions at an angle that is beyond 90°. For the following exercises, use reference angles to evaluate the expression. Use reference angle to find the exact value. Notice that \(30^{\circ}\) is the reference angle for many angles. 22 5 ∘ − 18 0 ∘ = 4 5 ∘ 225^\circ-180^\circ=45^\circ 22 5 ∘ − 18 0 ∘ = 4 5 ∘. Step 3: Know the Tangent of 5) Use the reference angle to find the exact value of each expression. Now, to find the value of tan(θ), use the quadrant in which θ lies. Checking on a calculator: For angles in the third quadrant, subtract \(180°\) from the angle. tan 315 2 ± 3 1 sin 1 x T T sec tan ² = 9. Follow the mnemonic rule: ‘ A dd S ugar T o C offee’ or ‘ A ll S tudents T ake C alculus’ to remember when these functions have positive values. Find the degree measure of each angle shown below, and sketch the angle in standard position. cot 3 30. This is the reference angle. sec 300° 32. The exact Nov 2, 2023 · It can be computed by dividing the length of the side opposite the angle by the length of the adjacent side. x = cos t y = sin t x = cos t y = sin t. This comes in handy when the given angle is an uncommon angle but the reference angle is an angle you already know the An angle’s reference angle is the size angle, [latex]t[/latex], formed by the terminal side of the angle [latex]t[/latex] and the horizontal axis. tan 150° 15. The angle 135° has a reference angle of 45°, so its sin will be the same. Measure the angle formed by the terminal side of the given angle and the horizontal axis. Evaluate the function at the reference angle. sec 180° 20. Mar 27, 2022 · The angle −90^{\circ}\) is coterminal with \(270^{\circ}\). Notice that 30 ∘ is the reference angle for many angles. reference angle. Find the Exact Value cos(315) Step 1. So, we get; ⇒ 7π/4 . 22. hello quizlet. It covers the definition and calculation of reference angles, exploring … Tangent (\( \tan \theta \)) values are negative. (1 point) (b) Construct the reference triangle. Since the angle is in the fourth quadrant, subtract from . Jul 18, 2015 · Find 6 trig functions of (315) On the trig unit circle, sin (315) = sin (-45 + 360) = sin (-45) = - sin (45) Trig table gives -> sin 315 = -sin 45 = -(sqrt2)/2 cos tan 315 degrees. 2 An angle’s reference angle is the measure of the smallest, positive, acute angle \(t\) formed by the terminal side of the angle \(t\) and the horizontal axis. Evaluate tan(315) Step 1. There is no reference angle. sec 451 3 28. It is always a positive acute angle (between 0° and 90°). sin(7\pi/4) 3. The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis. We can observe the angle in equation (iv) and hence get that the angle \[\left( 2\pi -\dfrac{\pi }{4} \right)\] will lie definitely in 4th quadrant as \[2\pi \] will lie at same position where 0 lying (after first rotation to ${{360}^{\circ }}$ or \[2\pi \]). Jan 11, 2017 · Reference angle is the angle between x-axis and the terminal side of given angle. com Since tangent function is positive in the 1st quadrant, thus tan 405 degrees value = 1 Similarly, given the periodic property of tan 405°, it can also be written as, tan 405 degrees = (405° + n × 180°), n ∈ Z. First, we explained how, when evaluating trigonometric functions for any angle, first we find the reference angle θ ˉ \bar{\theta} θ ˉ. The resulting angle of is positive, less than , and coterminal with . a) 1 cos e b) tan e > 0 4' sec 0 = 2, sin 0 < 0 7) Find the exact value of sin35' + sin110° + sin215' + sin290" May 2, 2022 · An angle’s reference angle is the size angle, \(t\), formed by the terminal side of the angle \(t\) and the horizontal axis. See Example. -1 [key: -405° is coterminal with 720 - 405 = 315°. Step 3: Finally, the reference angle for the given angle will be displayed in the output field. There is no reference angle because the angle is quadrantal. 26. Angle of $315\mathrm{°}$ and its reference angle An angle’s reference angle is the measure of the smallest, positive, acute angle [latex]t[/latex] formed by the terminal side of the angle [latex]t[/latex] and the horizontal axis. If you insist on taking notes pause Answer to Solved Use a reference angle to find the exact value of the | Chegg. To find the value of cot 315 degrees using the unit circle: Rotate ‘r’ anticlockwise to form 315° angle with the positive x-axis. tan 135° 12. sec 120° 36. O' 0 Evaluate the sine, cosine, and tangent of the angle without using a calculator. In what quadrant is this angle? (answer 1, 2, 3, or 40 sin (315 Preview cos (315. 2 Reference and Special Angles Reference Angles- sin 40° sin 140° sin 220° sin 320° Find the Reference Angle − 100° 23 𝜋 12 SPECIAL ANGLES FIND THE EXACT VALUE! cos 120° = sin 210° = sin 5 𝜋 4 = cos − 2 𝜋 3 = tan 315° = sec 180° = cot 𝜋 4 = sec 3 𝜋 2 = NOTES tan = opposite adjacent reference angle is 90 2) 3) 4) tan( sin(90 sec( 1) sm sec undefined (negative angle goes clockwise) cot undefined sm -1) esc undefined sm opposite ypotenuse reference angle is 90 hypotenuse sec adjacent reference angle is 0 adjacent cot — undefined — undefined 5) cot(180 6) sin( reference angle is 90 opposite sm Find step-by-step PRECALCULUS solutions and the answer to the textbook question Evaluate the sine, cosine, and tangent of the angle without using a calculator. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Without using a calculator, compute the sine, cosine, and tangent of 315∘ by using the reference angle. sin 3𝜋 4 25. In this case, θ = 315 degrees is in the fourth quadrant, where tan(θ) is negative. There is no reference angle. Special Angle Values Find the Reference Angle cot(315 degrees ) Step 1. α = 45 degrees. Find the Exact Value sec(315 degrees ) Step 1. cos225° 14. Show Without using a calculator, compute the sine, cosine, and tangent of 315 by using the reference angle. These videos were made in the classroom. Step 2: Determine the Sign of the Tangent in the Fourth Quadrant In the fourth quadrant, the tangent of an angle is negative. sec 6 131 21. e. Reference angles can also be used to find the coordinates of a point on a circle. cot 877 26. Angles in quadrant I The reference angle of an angle is always non-negative i. √3. In this problem, we were asked to find the exact value of the trigonometric function tan ⁡ 31 5 ∘ \tan{315^{\circ}} tan 31 5 ∘. Students must know how to rationalize the given number and simplify such problems. Study tools Angle of 315 ° and its reference angle. Step 2 10. And, Tan (7π/4) = - 1 . csc 150° 33. Reference angles may appear in all four quadrants. Reference angles are important in trigonometry for simplifying calculations and solving problems in radians or degrees. 3 Homework Exercises. THE REFERENCE ANGLE OF THE SPECIAL ANGLES The reference angle of the Special Angles of , 6 7, 6 5, 6 S S S r r r and 11S r is 6 S. Step 2 Use our tan(x) calculator to find the exact value of tangent of 315 degrees - tan(315 °) - or the tangent of any angle in degrees and in radians. Using the tangent reference angle: tan (31 5 ∘) = tan (36 0 ∘ − 4 5 ∘) = − tan (4 5 ∘) = − 1; Calculate cos (30 0 ∘): The angle 300° is in the fourth quadrant, where cosine is positive. 497787. Mar 27, 2022 · Formally, the reference angle of an angle in standard position is the angle formed with the closest portion of the \(x\)-axis. O A The given angle is not quadrantal, so the reference angle is OR. Do not use a calculator. . Identify the reference angle for an angle given in standard position. Make the expression negative because cotangent is negative in the second quadrant . Figure \(\PageIndex{2}\) We can also use our knowledge of reference angles and ordered pairs to find the values of trig functions of angles with measure greater than 360 degrees. , a negative reference angle doesn't exist. 21. Tangent Function Aug 11, 2024 · Learning Objectives. 315∘ sin315∘= (Simplify your answer, including any radicals. We can use trigonometric identities to represent cot 315° as, tan (90° - 315°) = tan(-225°)-tan (90° + 315°) = -tan 405°-cot (180° - 315°) = -cot(-135°) Cot 315 Degrees Using Unit Circle. Cos 315 Degrees. In this article, we will discuss the methods to find the value of cos 315 degrees with e Consider the following 0 = 315° Let @ be an angle in standard position. Choices may be used once Calculate the reference angle of the given angle using the above formula. Cotangent is the reciprocal of tangent, which is negative in Quadrant IV. cot 6 a 77 22. θ=315∘ Let θ be an angle in standard position. cos𝜋 6 23. Back to Topics List 2. tan(−3𝜋 4) 30 Dec 26, 2024 · An angle’s reference angle is the measure of the smallest, positive, acute angle \(t\) formed by the terminal side of the angle \(t\) and the horizontal axis. Use our reference angle calculator to find the reference angle for any angle in degrees or radians. For \(315^{\circ}\), the reference angle is \(360^{\circ} - 315^{\circ} = 45^{\circ}\). 2 3S J The angle J is on the positive y-axis. Find the Exact Value tan(315 degrees ) Step 1. Dec 24, 2024 · This section delves into understanding and utilizing reference angles to evaluate trigonometric functions for non-acute angles. Happy to Help:} 语嫣 Yu Yan · 1 · Aug 7 2018 In trigonometry we use the functions of angles like sin, cos and tan. CSC 511 4 25. Subtract from . 7071067. We will use the reference angle of the angle of rotation combined with the quadrant in which the terminal side of the angle lies. Angles in the fourth quadrant can be calculated by subtracting them from \(360^{\circ}\) to find their reference angle, which is then used to determine the trigonometric values. Reference Angle= 360∘ −315∘ = 45∘. What is a Reference Angle, you ask? Well, let’s just say they’re absolutely incredible! Angles that have the same reference angles always have the same trigonometric function values! Meaning the SIN, COS and TAN are all the same. For example, the reference angle of 120^@ is 60˚, since 120 + 60 = 180, and 180˚ is on the x axis. Find the Exact Value tan(210) Step 1. Step 2 Question: Find the reference angle and the exact value of the tangent, if it exists tan (-315°) What is the reference angle? Select the correct choice below and fill in any answer boxes within your choice. cot 90° Find the exact value. a) cos a) csc(-315 ) 370 6) Find the exact value of each of the remaining trigonometric functions of e. sec 11 371 4 24. , cos (7π/4) or cos (5. including any radicals. Question: 2. Formally, the reference angle of an angle in standard position is the angle formed with the closest portion of the x − axis. rank. They go fast and are made for watching. tan 3 27. Make the expression negative because tangent is negative in the fourth quadrant. cot(-405°) = -cot45° = -1/(tan45°) = -1] Without using a calculator, compute the sine, cosine, and tangent of 225 ∘ \displaystyle {225}^{\circ} 225 ∘ by using the reference angle. ) What is the reference angle? degrees. tan 330° 35. sin 330° = 16. The angle \(\alpha\) is one-fifth of a complete revolution, or Sep 15, 2021 · A reference angle is the positive acute angle between the terminal side of the standard angle and the x-axis. Answer. For example, it is the reference angle for 210 ∘ and for − 30 ∘. The value of cos 315 degrees is 0. R e f e r e n c e a n g l e = 360 °-315 ° = 45 ° Thus, the reference angle is 45 °. To find the reference angle, subtract from : So, the reference angle is . Step 2: Now click the button “Calculate Reference Angle” to get the result. sin 150° 13. Oct 9, 2024 · Our reference angle calculator is a handy tool for recalculating angles into their acute version. Question: what is the representation of tan 315 using the reference angle what is the representation of tan 315 using the reference angle There are 2 steps to solve this one. B. Use integers or fractions for any numbers in the expression. -5/3 -4/3 3/5 5/4 and more. So it could be that the reference angle needs to be identified as -45 degrees. Hence, the reference angle is, = 360 Mar 4, 2023 · Example 4. Since is in the first quadrant, the reference angle is . Tap for more steps Step 1. Since a reference angle is always positive, we add 45° to get 45° as the reference angle. Question: Use reference angles to find sinθ,cosθ,tanθ,cscθ,secθ, and cotθ for the given angle θ. 571 777 117 6 18. There is no reference angle because the angle is quadrantal. CSC 2. views. Question: Consider the following. \sin 630^\circ; Use the reference angle to find the exact value of the expression. In what quadrant is this angle? (answer 1,22, or 4 )sin(315°)=cos(315°)=tan(315°)= Oct 17, 2021 · Calculate tan (31 5 ∘): The angle 315° is in the fourth quadrant, where tangent is negative. Find cos (315) cos (315) = cos (-45 + 360) = cos (-45) = cos (45) = sqrt2/2 Therefor, sec 315 = 1/(cos 45) = 2/sqrt2 Find the Exact Value sec(315) Step 1. Understanding the concept of a reference angle and the application of the tangent function assists in determining the relationship between a given angle and its associated reference angle, along with calculating the tangent value for the Jan 27, 2025 · This answer is FREE! See the answer to your question: Find the exact value of [tex]\tan 315^\circ[/tex] in simplest form with a rational denomi… - brainly. Given an angle not in the first quadrant, use reference angles to find all six trigonometric functions. tan 2𝜋 3 24. \ $315^{\circ}$. (1 point) (c) Use your knowledge of the hypotenuse, opposite, and adjacent sides to find the sine, cosine, and tangent for the given angle. Therefore, a reference angle must always be smaller than 90^@.  tan ⁡ 765 ° \tan765 Concept Check Match each angle in Column I with its reference angle in Column II. This is a 45 degree angle, but if you consider direction, measuring clockwise gives you a negative angle. Mar 25, 2024 · The trig function is the same for the given angle and reference angle. . Without using a calculator, compute the sine, cosine, and tangent of 315° by using the reference angle. A reference angle is the smallest angle between the terminal side of a given angle and the x-axis. sin 315 Find the Reference Angle -315 degrees. (Type sqrt(2) for V2 and sqrt(3) for V3) What is the reference angle? degrees. Nov 10, 2020 · 9. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The only thing that varies is the sign. Reference angles can be used to find the sine and cosine of the original angle. ⇒ 315 degree . Determine angle type: 315 > 90°, so it is obtuse. sin(-13\pi/4) Mar 31, 2021 · PRACTICE 9. We can find the cosine and sine of any angle in any quadrant if we know the cosine or sine of its reference angle. They are review videos for my students. Step 1. In what quadrant is this angle? (answer 1,2,3, or 4 ) tan ⁡ 31 5 ∘ \tan 315^{\circ} tan 31 5 We need to find first the reference angle Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. 3. Find the Exact Value tan(225 degrees ) Step 1. cos𝜋 5. Find the reference angle and the exact function value if they exist. 2. First we find the reference angle corresponding to the given angle. Quadrant I Quadrant II Quadrant III Quadrant IV Find the reference angle θ′ in degrees. The exact value of is . tan(315) What is the reference angle? Select the correct choice below and fill in any answer boxes within your choice.