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

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Shreyash Rane · Answer

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 D OPTION

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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

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