JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let $f_{k} (x) = \frac{1}{k} (sin^{k} x + cos^{k} x)$ for k = 1, 2, 3, .... Then for all x $\in$ R, the value of f₄(x) – f₆(x) is equal to

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

Solution

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