TRIGONOMETRY_11-01-2019_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2019

11-01-2019 S1

Question

Let $f_x(x)=\frac{1}{k}\left(\sin ^k x+\cos ^k x\right)$ for $k=1,2,3, \ldots$. Then for all $x \in R$, the value of $f_4(x)-f_6(x)$ is equal to

Select the correct option:

$\frac{-1}{12}$

$\frac{1}{12}$

$\frac{5}{12}$

$\frac{1}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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