1%09 lIı. A bb a 1:1Y 2-tan a If sin(x + a) = 2 cos(x – a), then tan x 1-2 tan a' True False O Leave Question O * /Q27 cot? Vx dx = – csc Vx – Vx + c True O False O Leave Question O

Q: 4sinx If y then the value of y' is COSX 4 tanx 4 sec2x 4 secx tanx 4 secx

A: First simplify y using the trigonometric ratios. Then, take the derivative of both sides of the…

Q: Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

A: Given Cosecθ=2921and we have to calculate the value of sin(θ), cos(θ), tan(θ)

Q: ich of the following give the value of tan z? You may select more than one: your mark will be…

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Q: True or false: If cos A is negative, then cos (A/2) is negative as well.

A:

Q: Prove the following identity: cos³x-sin³x cosx-sinx = 1 + sinx coSX

A: We know,      a3 - b3 = (a - b)(a2 + b2 + ab) Also,     sin2x + cos2x = 1

Q: If sin A = with A in QII, find Cos 9 cos Cos COS Cos Cos 스2

A: cos2A +sin2A =1 cos(2A)=2 cos2A -1

Q: cos u= 3/4. Evaluate tan v

A:

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: 16. Simplify the expression cos -1 sin' x-1 O sec? x tan2 tan? a tan? a O - sec a

A: 16. We need to simplify the following expression cos2x-1sin2x-1

Q: 4. COS V sin v = csc v sin v 5. cot(a) cos(-a) + sin(- α) - csc (α)

A:

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: Let sinA=-4/5 with A in QIII and cosB=-3/5 with B in QII. Anwer Exactly. Find sin(A-B), cos(A-B),…

A: Given,

Q: 16 If sin 0 = find cos 0 and tan 0, 3 %3D

A: sinθ=63To find: tanθ,cosθ

Q: A 17 8 B 15 sin(A) = type your answer. - cos(A) = type your answer. - and tan(A) = type your answer.

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Q: If x=2 tan θ ,express sin(2θ)as a function of x.

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Q: Differentiate each function. 1. y = 2 sin³ n x 2. у %3D csc(x3 — 1) 1- sin x 3. У - 1 + sin x cot x…

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Q: for what value of x is cosx 1=5cosx is true

A: Solution: Consider the given equation: cos x .1 = 5 cos x Therefore, 5 cos x = cos x5 cos x - cos x…

Q: 1. Determine the sign (+ or -) that yields the correct formula for the following -(sinx + cos x) =+…

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Q: Identify which of the following represents that of a sin, cos, tan, cot, csc, and sec function. के +…

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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.