Question:easy

The period of the function \[ f(x)=\log(\cos x)+\cot^4\left(\frac{x}{2}\right)+\sin(3x+7) \] is

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For sums of periodic functions, first find the fundamental period of each term. Then determine the least positive common period, while also checking domain restrictions of functions such as logarithms.

Updated On: Jul 29, 2026

$4\pi$
$\dfrac{2\pi}{3}$
$2\pi$
$\pi$

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The Correct Option is C

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The period of the function \[ f(x)=\log(\cos x)+\cot^4\left(\frac{x}{2}\right)+\sin(3x+7) \] is

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The Correct Option is C

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