Question

prove that root of one- sintheta divided by one+sin theta=sectheta-tantheta where as acute​

Answer 1

Answer:

Firstly consider L.H.S; Now Rationalise.

√1+sin∅    √1+sin∅

------------×-----------

√1-sin∅   √1+sin∅

√(1+sin∅)²   1+sin∅

------------- = -----------

√1²-sin²∅     cos∅

Now consider RHS,

⇒sec∅+tan∅

⇒1/cos∅+sin∅/tan∅

⇒1+sin∅/cos∅

$HENCE  PROVED$

I hope it helpful...

PLEASE MARK ME BRAINLY............