Prove that: 1) csc 0 + tan 0 . sec 0 csc 0.sce20 1-cos" x 2) sin x .cos x tan x 3) 3 cos' x-sia x+1 4 cot' x sinx 中中中

Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

A:

Q: Simplify the following identities: 14: 1 sec'x 15.: COSX COSX 1 - sinx 2. sin'x tan'x 1+ sinx

A: Some trigonometric identities are,

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: 1 Evaluate: sin'x cos x

A:

Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

A:

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

A:

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: tan0 - sine sece %3D sin'e 1 + cose

A:

Q: Prove the following 2 tan 0 a sin 20 1+ tan? 0 2cos' x-cos x b cot xe sin x - 2 sin' x

A:

Q: Find the value of: a) sin-'(sin 2) b) arccos(cos(-)

A:

Q: cot cos + tan sin (cosec+ sec )(1 - sin cos)

A: To prove that the given relation is true

Q: 1-sin' x 3D sin.x 6. cosxcotx

A:

Q: 7. Verify the following: (sec0 + csc®)(cos0 – sin0) = cot0 – tan0

A:

Q: sin' t – cos' t Prove tan?t – 1 cos? t

A:

Q: d (cot x) = da A) B C D - tan x - sec²x tan x -csc²x

A:

Q: 1. sin x csc x 5. cos x (tan x + 1)

A:

Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

Q: w/N Find sin2x and cos2x given cot x x in QIII.

A:

Q: If cos x = sin 2x cos 2x tan 2x 4 csc x < 0, then ;

A:

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

A:

Q: Prove tan x + cos x = sin x (sec x + cot x).

A: We have to prove the identity: tan x+cos x=sin x sec x+cot x We know the relation between…

Q: tan? x – cot2x = sec2 x – csc? x - tanx-sinx = 1- cosx tanx

A: To prove :- 5.tan2(x) - cot2(x) = sec2(x) -csc2(x)  6. (tan(x) -sin(x))/tan(x) =1-cos(x)