Math, asked by jazeeb, 3 months ago

(C) Prove the following identity:
1+ sin e /
cos e
+
cos e/
1+ sin
= 2 sec e​

Answers

Answered by s07049583dimplesingh
1

Answer:

hope this answer was helpful

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Answered by bhosleshivam123
0

Answer:

PLEASE REFER TO THE IMAGE ATTACHED...!!!....

STEP BY STEP EXPLANATION :

  1. TAKE LCM
  2. SOLVE IT FURTHER
  3. NOW USE THE TRIGONOMETRIC IDENTITY (sin^2 theta + cos^2 theta =1) AND SUBSTITUTE (sin^2 theta + cos^2 theta) BY 1
  4. NOW TAKE 2 COMMON
  5. CUT OUT (1+sin theta) FROM NUMERATOR AND DENOMINATOR
  6. NOW USE TRIGONOMETRIC IDENTITY (1/cos theta = sec theta) AND SUBSTITUTE (1/cos theta ) BY (sec theta )
  7. NOW U GET (2sec theta ) WHICH IS EQUAL TO RHS .
  8. HENCE PROVED.
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