The range of the function, f(x) = log 5 (3 + cos ((3π)/4 + x) + cos ((π)/4 + x) + cos ((π)/4 - x) - cos ((3π)/4 - x)) is:

Sets, Relations and Functions: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q3891

JEE Main 20211 Sep, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

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 :

JEE Main 2021 · 1 Sep, Evening shift · Q3891

JEE Main 20211 Sep, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

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 :