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What is the value of ( cos theta + sin theta / cos theta -sin theta ) - ( cos theta - sin theta / cos theta + sin theta )

What is the value of ( cos theta + sin theta / cos theta -sin theta ) - ( cos theta - sin theta / cos theta + sin theta )

Grade:8

1 Answers

Arun
25757 Points
5 years ago
Dear student
 
(Cos theta + sin theta)² / (cos²theta - sin² theta)  -  (cos theta- sin theta)²/(cos² theta - sin² theta)
= 4 cos theta* sin theta/ cos (2 theta)
= 2 * 2sin (2 theta)/ cos (2 theta)
= 2 tan (2 theta)
 
Regards
Arun (askIITians forum expert)

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