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Sin x + cos x =√2 cos x then cos x - sin x is equal to a)√2 cos x b)√2 sin x c)√2 ( cos x + sin x) d) none of these

Sin x + cos x =√2 cos x then cos x - sin x is equal to a)√2 cos x b)√2 sin x c)√2 ( cos x + sin x) d) none of these

Grade:11

1 Answers

Shreyash Rane
45 Points
6 years ago
sin x+cos x=root 2 cos x
(sin x+cos x)^2=2cos^2 x
sin^2 x+cos^2 x+2sin xcos x=2cos^2 x
2sin xcos x=2cos^2 x
so therefore,here,sinx=cosx
therefore,cos x-sin y=cos x-cos x=0
 
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