InterviewSolution
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InterviewSolution
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Let `f(x) = sin^6x + cos^6x + k(sin^4 x + cos^4 x)` for some real number k. Determine(a) all real numbers k for which `f(x)` is constant for all values of x. |
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Answer» Correct Answer - A `(1-3sin^2xcos^2x)+k[1-2sin^2xcos^2x]=0` is an identity, i.e., `(1+k)-(3+2k)sin^2xcos^2=0` is an identity. `rArr 1+k=and 3+2k=0`, which do not hold simultaneously. |
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