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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
sin x+cos x=root 2 cos x(sin x+cos x)^2=2cos^2 xsin^2 x+cos^2 x+2sin xcos x=2cos^2 x2sin xcos x=2cos^2 xso therefore,here,sinx=cosxtherefore,cos x-sin y=cos x-cos x=0 D OPTION
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