1 cosx sinx 1 cosx sinx 1 sinx cosx
Asked by admin @ in Math viewed by 293 People
1+cos x+sin x/1+cos x-sin x = 1+sin x/cos x.prove this
Answered by admin @
Given,
(1+cos x+sin x)/(1+cos x-sin x )
multiplying with conjugate of denominator.
→
(1+cos x+sin x)²/(1+cos x-sin x )((1+cos x+sin x)
→(1+cos x+sin x)²/{(1+cosx)² - sin²x
see picture!.
use following identities:-
sin²x +cos²x= 1
1-sin²x= cos²x..
Hope it helped you!.
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