Identities cos¹ x+cos (-x) -- sec¹ x = tan x tan¹ (-x)-. R/2 I sin sec¹ x = Page 3 of 3

Q: Cos(75^•) sin (195^•) Cos(75 degree’s) Sin (195 degrees)

A: Given expression: cos75° sin195°cos75°sin195°

Q: -(sin^2 θ + cos^2 θ)

A:

Q: True or False sin(sin-1 0) = 0 and cos(cos-10) = 0.

A: Given:         sin(sin−10)=0  and cos(cos−10)=0

Q: sin?() + cos? () + tan? (4) 2 1/2 2 1 1/2

A:

Q: Verify identity (csc x - cot x)2 =(1 - cos x)/(1 + cos x).

A: The given identity is csc x-cot x2 =1-cos x1 + cos x

Q: cos^2θ/2= 1+cosθ/2 derive the identity

A:

Q: sin(2 tan " (-} ))

A: Given,  sin2tan−1−83Formula→2tan−1x=sin−12xx2+1                 sinsin−1x=x

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: 1 + csc x  / cos x + cot x

A: Given information:

Q: 2 1-tan ² x 2 1+ tan² x 2 = cos²x - sin² x

A:

Q: Prove the identity on a separate sheet of paper. tan 0+ sin 0 COS cos 2. 2 tan 0

A:

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

A:

Q: cos(sin^-1u-cos^-1v) Write as an algebraic expression of u and v

A:

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: sin x Verify: cot x + = csc x 1+cos x

A:

Q: sin[cos^-1(12/13)+tan^-1(4/3)]

A: Given:

Q: at sin (nt) at Så ea

A:

Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1