11) Prove each identity: a) cos(a+b) cos(a)cos (b) b) 2 sec2(t)= - 1 tan(a) tan (b) 1-sin(t) cos²(t) 1 1-sin(t) c) sin(2x) 2 tan(x) = 1+tan2(x)

Q: 1- tan- (0) = 2 cos? (0) – 1 1+ tan“ (0)

A:

Q: Show that sin?(0) [1+ cot²(8)] = 1

A: Solve the given

Q: VERIFY THE IDENTITIES

A:

Q: Verify that (sin(0) csc(0))+ (cot(0) tan(0)) = 2

A: We have to verify,

Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

A:

Q: if sin(A)=3/5 A is in QII and tan(B)=7/24 B is in Q3 then determine tan(A+B) and cot(A+B)

A:

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' t – cos' t Prove tan?t – 1 cos? t

A:

Q: If () Z = tan || then 2z sin x 1+ z2

A:

Q: 2 sin (45)+ 4 cos A 3

A:

Q: tan(C + A)tan(C – A)tan(B+ D) = tan(D – B)

A:

Q: Prove identity (1+ a) (1 – cos a) = tan? cos æ) sec x x cos x

A:

Q: To prove cos (-u) csc (-u) tan (-u) = 1, which of the following is correct as a first step? a. cos…

A: cos-u csc-u tan-u=1

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

A: