Prove the followng identities:
1. tan x.cos x. cosec x = 1
2. (1 + tan2x)(1 − sin2x) = 1
3. 3 − 4 sin2x = 4cos2x − 1
4. sec2x + cosec2x = sec2x cosec2x
5.
6. cosec x − cos x cot x = sin x
7.
8.
9. cos 4x = 1 − 8sin2x cos2x
10.
Prove the followng identities:
1. tan x.cos x. cosec x = 1
2. (1 + tan2x)(1 − sin2x) = 1
3. 3 − 4 sin2x = 4cos2x − 1
4. sec2x + cosec2x = sec2x cosec2x
5.
6. cosec x − cos x cot x = sin x
7.
8.
9. cos 4x = 1 − 8sin2x cos2x
10.