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Trigonometric Ratio and Identites question

2014 · Shift 0 · Q43

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2014 · Shift 0 · Q43

Trigonometric Ratio and Identites question

2014 · Shift 0 · Q43

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

Let

f_k\left( x \right) = {1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)

where

x \in R

and

k \ge \,1.

Then

{f_4}\left( x \right) - {f_6}\left( x \right)\,\,

equals :

A
${1 \over 4}$
B
${1 \over 12}$
C
${1 \over 6}$
D
${1 \over 3}$

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