If fk(x)=k1(sinkx+coskx) then f4(x)−f6(x)= (A) 121 (B) 125 (C) 12−1 (D) −125

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If {{f}_{{k}}{({x})}}={{1}}{{k}}{({{}^{{k}}{x}}+{{}^{{k}}{x}})

Question

If $f_{k} (x) = \frac{1}{k} (sin^{k} x + cos^{k} x)$ then $f_{4} (x) - f_{6} (x) =$ (A) $\frac{1}{12}$ (B) $\frac{5}{12}$ (C) $\frac{- 1}{12}$ (D) $- \frac{5}{12}$

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Mila Discussed

f_{k} (x) = \frac{1}{k} (sin^{k} x + cos^{k} x)

then

f_{4} (x) - f_{6} (x) =

(A)

\frac{1}{12}

(B)

\frac{5}{12}

(C)

\frac{- 1}{12}

(D)

- \frac{5}{12}

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Question Text

f_{k} (x) = \frac{1}{k} (sin^{k} x + cos^{k} x)

then

f_{4} (x) - f_{6} (x) =

(A)

\frac{1}{12}

(B)

\frac{5}{12}

(C)

\frac{- 1}{12}

(D)

- \frac{5}{12}