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Functions question

2019 · 11 Jan · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Functions
2019 · 11 Jan · Shift 1 · Q39

Functions question

2019 · 11 Jan · Shift 1 · Q39

JEE MainMathematicsFunctionsMCQ+4 / −1

Let fk(x) =

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

for k = 1, 2, 3, ... Then for all x

\in

R, the value of f4(x)

-

f6(x) is equal to

A
${1 \over 4}$
B
${5 \over {12}}$
C
${{ - 1} \over {12}}$
D
${1 \over {12}}$

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