Use the given information to find the exact value of the expression. 20 a lies in quadrant I, and cos 29 4 B lies in quadrant I B= 11) sin a = Find cos (a + B). 143 144 A) 17 B) 145 24 C) D) 145 145

Q: If the terminal side of angle 0 goes through the point VTO 3VT0 10 on the unit circle, then what is…

A: We have to find the length of hypotenuse at first.Then to find the value of cos (theta)

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A: Here the given graph as

Q: Given that the point (-80, 39) is on the terminal side of an angle, 0, find the exact value of the…

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Q: An angle of measure π6 intersects the unit circle at point (32, 12). What is the exact value of…

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Q: The angle 0, is located in Quadrant III, and tan (61) = 15 cos (6,) = cot (61) = csc (61) = sec (6,)…

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Q: Suppose cos ? =15/17 and ? lies in the 4th quadrant. Choose one of those ways to find sin ?.

A: Solution is in step 2

Q: What is cos A, if cos 2A , and 2A is an angle in the fourth quadrant? 16 13 13 16 16 13 13 16 no…

A: The solution of the problem is given in the next step.

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Q: Given ?, a positive angle less than 2pi, fill out each of the following in terms of ?.     ? in QI…

A: Answer

Q: The value of ( cos 30 sin 60 de is 4

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Q: cos2θ

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Q: Use the double angle formula to find the exact value of 2 cos² ETOO 1

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Calculate sin u using the identity sin2θ+cos2θ=1. sin2u=1--12132sin2u=132-122132sin2u=52132sin u=513…

Q: 119 Suppose that is an angle in quadrant 2 and that cos a Compute the exact value of 169 cos (). cos…

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Q: Use the information given about the angle 8, sec 0=4, csc 0<0, 0≤0<2, to find the exact values of…

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Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

A: Given that α is acute angle, that means 0&lt;α&lt;π2.Hence, all the trigonometric ratios are…

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Q: Let a be the shorter leg of a 30°-60°-90 triangle. 60 2a 30 sin 60° = sec 60° = Cos 60° = CSC 60°=…

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Q: 29) Use the Half-angle Formulas to find the exact value of the following expression. tan 22.5°

A: exact value of tan22.5°

Q: 1. If a, B are acute angles such 4 that cos a = 8 and tan B=, find 15 a. cos (a- B) b. sin 2

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Q: How do you solve it and can you show me step by step

A: Draw a line AB. At the point A plot the protractor and draw 90 degree. At point B again plot the…

Q: For positive acute angles A and B, it is known that cosA=8/17 tanB= 24/7 Find the value of…

A: Given that  A and B are two positive acute angles. cosA = 8/17 and tanB= 24/7 We have to find the…

Q: Given that the point (126, -32) is on the terminal side of an angle, 0, find the exact value of the…

A: We have to find the values of trigonometric ratios.

Q: Show that if tan0 = c and 0 &lt; 0 &lt; π/2, then cos0 = 1/ 1 + c2.Hint: Draw a right triangle whose…

A: tan θ=cTo find: Value of cosθ, where 0≤θ≤π2

Q: Determine the exact value of cach of the following: a) cos 60° b) sin 30° c) cot 150° d) tan 120° e)…

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Q: 1. Determine two other angles that have the same trigonometric ratios as each given angle. a) sin…

A: determine the other angles that have the same trignometric ratiosa)sin60°   b)cos230°c)tan200°…

Q: Given that the point (-90, 56) is on the terminal side of an angle, 0, find the exact value of the…

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Q: Suppose Ø is an angle such that •<ØLI and tan o- . what is sinø? hat is cosø?

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Q: If sin ZC AB= and AC = 15, what is the value of cos ZC AB? %3D O 1

A: Given Data: The length of the side  AC is: AC=15 The sine of the angle CAB is: sin∠CAB=35 The sine…

Q: Suppose that , is an angle in quadrant 4 and that cos a = 7 Compute the exact value of 2 25 cos cos…

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Q: Given that cos(0) = 2/13 18, and 0 is in Quadrant IV, what is cos(20)? %3D

A: We can use the following standard trigonometric identity given below: cos(2θ)=2cos2(θ)-1......(i)…

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Q: A ramp leading to the freeway overpass is 180 feet long and rises 23 fet. What is the measure of the…

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Q: According to the reference angle theorem, which of the following is not true? (A) cos 240° = - cos…

A: We can solve the problem by property of reference angle.

Q: Find all angles 0 in [0, 27) that satisfy the equation: cos(0) csc(0) = cot2 (0)

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Q: Let a and 3 be angles in [0,] with COS α = 144 , sin 8: 145' 24 25 What is the value of cos(a + 3)?…

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Q: What is the value of cos 0 if P(-5, 12) is on the terminal side of an angle 0 in standard position?…

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Q: Assume that θ is a positive acute angle. Given: cos⁡θ=60/61 Find: cos⁡2θ

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Q: Select all the trigonometric values that are equivalent to . sin 30° Cos 45° O tan 45° sin 45° tan…

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Q: Find cos8, csc0, and tan 0, where 0 is the angle shown in the figure. Give exact values, not decimal…

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Q: Given that the point (-3, –2) is on the terminal arm of angle 0, find the exact value of cos 0.

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Q: (5) Suppose that 2 is an angle in quadrant 2 and that cos B Compute the exact value of cos 25 Cos ||

A: To determine the value of cos (β/2).

Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.

A: We have used the Pythagoras Theorem in this question.

Q: A. llustrate then find the values of sin 8, cos 8, and tan 8 and write your answer in 2 decimal…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.