Prove the identity tan+cot 0 = csc sin + sec 0 + cos e

Q: Verify the identity: cos(α - β)/(cos α cos β) = 1 + tan α tan β.

A: We will use the identity

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

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

A:

Q: sin4x sin2x=1/2(cos2x-cos6x). Prove the identity

A: Consider the given identity

Q: Verify the identity: tan x + 1/tan x = 1/(sin x cos x)

A: To verify: tan x+1tan x=1sinx. cosx

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: sin (3pi/2 + theta) = -cos (theta)

A:

Q: Recurrences Give asymptotic upper and lower bounds in the following recurrences. Assume appropriate…

A: Given: (b)  T(n)=23 T2n3+13 Tn3+nwhen n=1 ⇒ T(1)=23 T23+13 T13+1when n=2 ⇒ T(2)=23 T43+13 T23+2when…