Prove the following.

5

Prove the following.

cot²θ - tan²θ = cosec²θ - sec²θ

5

Prove the following.

tan⁴θ + tan²θ = sec⁴θ - sec²θ

5

Prove the following.

sec⁶x – tan⁶x = 1 + 3 sec²x × tan²x

5

Prove the following.