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Functions question

2021 · 1 Sep · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Functions
2021 · 1 Sep · Shift 2 · Q35

Functions question

2021 · 1 Sep · Shift 2 · Q35

JEE MainMathematicsFunctionsMCQ+4 / −1

The range of the function,

f(x) = {\log _{\sqrt 5 }}\left( {3 + \cos \left( {{{3\pi } \over 4} + x} \right) + \cos \left( {{\pi \over 4} + x} \right) + \cos \left( {{\pi \over 4} - x} \right) - \cos \left( {{{3\pi } \over 4} - x} \right)} \right)

is :

A
$\left( {0,\sqrt 5 } \right)$
B
[ $-$ 2, 2]
C
$\left[ {{1 \over {\sqrt 5 }},\sqrt 5 } \right]$
D
[0, 2]

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