JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

Let

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

for

k = 1,2,3...

Then, for all

x \in R

, the value of

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

is equal to

View answer and explanation

Correct option: A

\frac{1}{{12}}

Option A (

\frac{1}{{12}}

) is correct because it's the result of simplifying the expression

{f_4}(x) - {f_6}(x)

using trigonometric identities.

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