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. cos A /1+sin A + 1+sin A/cos A = 2 sec A.

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

   (ii) \frac{\cos A}{1+\sin A}+\frac{1+\sin A}{\cos A}= 2\sec A
 

Answers (1)

best_answer

We need to prove-

\frac{\cos A}{1+\sin A}+\frac{1+\sin A}{\cos A}= 2\sec A

taking LHS;
\\=\frac{\cos^2A+1+\sin^2A+2\sin A}{\cos A(1+\sin A)}\\\\ =\frac{2(1+\sin A)}{\cos A(1+\sin A)}\\\\ =2/\cos A = 2\sec A

  = RHS

Hence proved.

Posted by

manish

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE announces post-result schedule for Class 10, 12 board exams 2025; apply for answer sheet from May 21
anam-khan

Depressed over 61% in CBSE 10th result 2025; Kota student dies by suicide
anam-khan

CBSE Class 10 Result 2025: Delhi region achieves 95.14% pass rate; compartment percentage slightly rises

Latest Question