You are given that cos(A) =, with A in Quadrant I, and sin(B) = - with B in Quadrant III. Find cos(A- B). Give your answer as a fraction.

Q: 2) Find the exact value of eac a) cos 135°

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A: Given:

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A: Explanation of the answer is as follows

Q: Find the exact value of the given expression. sin (2 cos-¹()) 5

A: Given Problem:- Find the exact value of sin2cos-135

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A: Given: arccos[cos(−3π/2)]

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Q: = -6, s in quadrant II

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Q: If sin A = 3/4and A terminates in quadrant I, find cos A and tan A.

A: Given sinA=34 and A terminates in quadrant I. We know that in quadrant I all six trigonometric…

Q: From the formula of sin (A + B), deduce the formulae of cos(A+ B) and cos (A- B).

A: To derive formula cos(A+B) & cos(A-B) using formula of sin(A+B)

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Q: 180°), determine without the use of a calculator and with the aid of a diagram the value of: cosß…

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Q: If cos(8) 3 and e is in the 3rd quadrant, find sin(e) 4 %3D sin(0) =

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Q: 3 Given that the cos(0)= and is in the first quadrant, what is the exact value of sin(20) ?

A: Given that: cos(θ)=35  and θ is in first qudrantWe know that sin2θ+cos2θ=1substituting  cos(θ)=35…

Q: -sin? 3 cos 3

A: Given trigonometric expression is cos2π3-sin2π3.

Q: Given that sin(a) = 2/3 and cos b = -(1/4)  with both a and b in the interval [pi/2  , pi).  Find…

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Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

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Q: Use the figure to derive the formulas for sin), cos(), and tan cos e 0 sin 0

A: A right triangle ABC is formed inside a circle:sides are: (1+cos θ), sin θusing Pythagoras…

Q: If sin A= -4/5 with A in QIII, find cos A/2

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Q: TC 1. cos?+ sin² =

A: Given expression is cos2π3+sin2π3. To find to the exact value of the given expression. Solution:…

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A: Topic = Trigonometry

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Q: Solve for "a" below. Opposite Hypotenuse sin e = Adjacent Hypotenuse cos e = Opposite Adjacent tan e…

A: In right angle ∆ABC The length of the side AB= 6 units and m∠A=65∘

Q: What happens when you try to find B for sin B = 4.321 on your calculator? Why doesthis happen?

A: when you try to find B for sin B = 4.321 on your calculator  You got "no solution " or invalid…

Q: What is the exact value of Cos(210°)? V3 1/2

A: Answer and explanation is given below...

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A: Given: (3,-23)

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A: tana=perpendicularbase=-47 in iv quadrant all value is negative except value of cosa seca…

Q: Given Cos(a) = and 0 < a < T/2, find the exact value of Cos(a/2).

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A: The triangle ABC is a right angled triangle, therefore the relation between angle A and B can be…

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Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

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Q: You are given that sin(A) = , with A in Quadrant I, and cos(B) = -, with B in Quadrant III. Find 5'…

A: We have, sin(A) = 35 ; A is in quadrant I cos(B) = -725 ; B is in quadrant III To evaluate : The…

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Q: In the figure below, AXYZ ABAC. Find tan C, sin C, and cos C. Round your answers to the nearest…

A: The solution is given below

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A: We need to evaluate the value of cosα-β using the following information

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Q: Given that 16cot A = 12:Find the value of sinA + cos A sinA – cosA -

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Q: Find the value (b) arccos (cos 2pie/3)

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Q: If sin A = − sqrt65/65 with 180° ≤ A ≤ 270°,  find cos 2A and cos A/2.

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A: (a) Consider the given expression as, cosα+β

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.