Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Prove the following identities, where the angles involved are acute angles for which the expressions are defined. sqrt frac1+sin A /1-sin A= secA+tan A

5. Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

   (vi)\sqrt{\frac{1+\sin A}{1-\sin A}}= \sec A+\tan A

Answers (1)

best_answer

We need to prove -
\sqrt{\frac{1+\sin A}{1-\sin A}}= \sec A+\tan A
Taking LHS;
By rationalising the denominator, we get;

\\= \sqrt{\frac{1+\sin A}{1-\sin A}\times \frac{1+\sin A}{1+\sin A}}\\\\ = \sqrt{\frac{(1+\sin A)^2}{1-\sin^2A}}\\\\ =\frac{1+\sin A}{\cos A}\\\\ = \sec A + \tan A\\\\ = RHS

Hence proved.

 

Posted by

manish

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE 10th supplementary result 2025 declared; 48.68% students qualify
anam-khan

CBSE Class 10 Compartment Result 2025 (OUT) LIVE: CBSE 10th supply results declared at cbse.gov.in

Latest Question