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If `=lt=xlt=2pi,`then the number of solutions of `3(sinx+cosx)-(sin^3x+cos^3x)=8`is0 (b) 1(c) 2 (d)4 |
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Answer» Correct Answer - A The given equation is `3 (sin x + cos x)-2 (sin x+ cos x) (1- sin x cos x)=8` or `(sin x+cos x) [3-2+2 sin x cos x]=8` or `(sin x+cos x)[sin^(2) x+cos^(2) x+2 sin x cos x]=8` or `(sin x+ cos x)^(3)=8` or `sin x + cos x =2` or `sin x, cos x=1`, which is not possible. Hence, the given equation has no solution. |
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