Find the number of integral value of `n`so that `sinx(sinx+cosx)=n`has – InterviewSolution

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1.	Find the number of integral value of `n`so that `sinx(sinx+cosx)=n`has at least one solution.
Answer» `sin x(sin x+cos x)=n` or `sin^(2) x+ sin x cos x =n` or `(1- cos 2x)/2+(sin 2 x)/2 =n` or `sin 2x-cos 2x=2n -1` `rArr -sqrt(2) le 2n -1 le sqrt(2)` or `(1-sqrt(2))/2 le n le (1+sqrt(2))/2` or `n=0, 1`

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