The range of the various function| Function| JEE-MAIN-2021

JEE MAIN 2021

01-09-2021 S2

Question

The range of the function, $f(x)=\log _{\sqrt{5}}\left(3+\cos \left(\frac{3 \pi}{4}+x\right)+\cos \left(\frac{\pi}{4}+x\right)+\cos \left(\frac{\pi}{4}-x\right)-\cos \left(\frac{3 \pi}{4}-x\right)\right)$ is :

Select the correct option:

$(0, \sqrt{5})$

$[-2,2]$

$\left[\frac{1}{\sqrt{5}}, \sqrt{5}\right]$

$[0,2]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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