Question

Sec^4 theeta- sec²theeta = tan^4 theeta+tan²theeta​

Answer 1

EXPLANATION.

⇒ sec⁴θ - sec²θ = tan⁴θ + tan²θ.

As we know that,

Formula of :

⇒ 1 + tan²θ = sec²θ.

Form L.H.S, we get.

⇒ sec⁴θ - sec²θ.

⇒ sec²θ(sec²θ - 1).

⇒ sec²θ(tan²θ).

⇒ (1 + tan²θ)(tan²θ).

⇒ tan²θ + tan⁴θ.

Hence Proved.