Question

Prove That: (1+tan²∅)(1-sin∅)(1+sin∅)/sec²∅=cos²∅​

Answer 1

Answer:

Given:

The equation is,

(1+tan²∅)(1-sin∅)(1+sin∅)/sec²∅

As we know that,

sec²∅-tan²∅=1

sec²∅=1+tan²∅

→(sec²∅)(1-sin∅)(1+sin∅)/sec²∅

→(1-sin∅)(1+sin∅)

→1-sin²∅

→Cos²∅

Hence,LHS=RHS

Step-by-step explanation:

Hope it helps you.......