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What is the value of 1+sin theta - cos theta / 1+sin theta + cos theta

What is the value of 1+sin theta - cos theta / 1+sin theta + cos theta

Grade:8

1 Answers

Arun
25758 Points
4 years ago
 
Dear Student
 
[(1 + sin theta) - cos theta]² / [(1+ sin theta)² - cos² theta] 
= 1 + sin² theta + 2 sin theta + cos² theta - 2 sin theta* cos tgeta - 2 cos theta / 1 + sin² theta + 2 sin theta - cos² tgeta
= 2 ( 1+ sin theta) -2 cos theta(1 + sin theta) / 2 sin theta (1 + sin theta)
= 1 - cos theta/ sin theta
 
Regards
Arun (askIITians forum expert)

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