Prove the following.

cot²θ - tan²θ = cosec²θ - sec²θ

5

Prove the following.

(secθ + tanθ) (1 - sinθ) = cosθ

5

Prove the following.

sec²θ + cosec²θ = sec²θ × cosec²θ

5

Prove the following.

tan⁴θ + tan²θ = sec⁴θ - sec²θ

5

Prove the following.