Prove the following identity : 2(sin'q +cos'a) -3(sin'q +cos'a) +

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: Prove the identity. cos(x - ) - sin(x + =) - o

A:

Q: Establish the identity. 1- cos 0 sin 0 = 2 csc 0 sin 0 1- cos 0

A: We have to prove, 1-cosθsinθ+sinθ1-cosθ=2 cscθ

Q: Suppose that sin(θ)=1/7. What csc(θ)=______.

A:

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: prove the identity cos^3x sin^3x =(sin^3x-sin^5x)cosx

A:

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

A:

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Prove the identity sec x - cos x = sinxtanx

A: To prove the identity

Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: Prove the identity (sin x - cos x)2 = 1 - sin 2x

A:

Q: Prove the identity. cos²x 1+ sinx (1– sinx)? 1- sinx

A:

Q: Prove the identity. sin 2x- sin 6x - tan 2x cos 2x+ cos 6x

A: The objective is to prove The Identity.

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: prove the identity tanθ =1-cos2θ / sin 2θ

A:

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A:

Q: sin\theta =-3/4 and cos\theta <0, then tan\theta =

A:

Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

A: Explanation of the solution is given below...

Q: 10) Verify the identity sin0+cos0 sin0-cose %3D = sec0csc0 cose sino

A:

Q: Prove the following identity 1+ cos(2x) 1 sin(2x) tan(x) 1+ cos(2x) sin(2æ)

A:

Q: Establish the identity. 2 cos - 0 1- 1+ sin 0 = sin 0

A:

Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

A:

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

A:

Q: 4 sin“ x = 1 – 2 cos 2.x + cos² 2.x

A: 4sin4x=(2sin2x)2 Using cosine double angle formula which is cos 2x=1-2sin2x1-cos 2x=2sin2x…

Q: prove the identity.  1+Cos θ= Sin2θ/ 1-Cosθ

A: Given : 1 + cosθ = sin2θ1 - cosθ

Q: Prove the identity. + sin 3 cos x- cosx

A:

Q: Prove the identity. ex(1- sin'x) = So cosx | %3D

A: Prove the identity- Secx(1 - sin2x) = cosx. We know that : sin2x + cos2x = 1 Here i attached…

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

A:

Q: What is the exact value of cos (tan ¹(-1)) 2 -? sin cos 08-¹(- +/-))

A: We have to find the exact value of costan-1-1sincos-1-32.

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: Prove the Identity 1-tan^4(x)=cos(2x)sec^4(x)

A: 1-tan^4(x)=cos(2x)sec^4(x)

Q: Prove the identity: sin² 0-cos²0 sin 0+ cos 0 = sin 0-cos0 -

A:

Q: 35. cos x + = sin x %3D

A: Solving the problem by doing the verification.

Q: Prove the identity. cos x- secx=-sinx tan x 2.

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: Verify the identity. sin 5x + sin 3x 2 cos x 4 sin x cos3 x - X – 4 sin x cos x 3.

A:

Q: prove the identity sin^2xcos^2x+cos^(4)x=(1-sinx)(1+sinx)

A:

Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: . Prove only 1 of the 2 identities given. sin x 1-cosx = 2 csc x 1-cos x sinx -) 1- sin? x – sin² y…

A:

Q: and tan (x) < 0, use the fundamental identities to determine sin (x) = cos (x) = tan (x) = cot (x) =…

A: Given query is to find the value of trigonometric functions.

Q: Prove the identity. cos (-x) 1- sin (-x) = secx- tanx

A:

Q: Prove using trig identities sin 20° =1 V3 cos 20° – 2 sin 40°

A:

Q: Prove the identity  cotx (1-cos2x)=sin2x

A:

Q: Verify the identity. cos (x+n) = - COSX

A: By using trigonometric formula, we verify the given identity