Question

Prove that 1 - Sin theta / 1+ Sin theta = Sec theta- Tan theta)²​

Answer 1

Answer:

Given that,

The equation is,

1-sin∅/1+sin∅=(sec∅-tan∅)²

Take LHS,

=1-sin∅/1+sin∅

On rationalizing,

=1-sin∅/1+sin∅×1-sin∅/1-sin∅

=(1-sin∅)²/1-sin²∅

=1+sin²∅-2sin∅/cos²∅

=sec²∅+tan²∅-2tan∅sec∅

=(sec∅-tan∅)²

Step-by-step explanation:

Hope it helps.....