General solution of equation $|\sin x|=\cos x$ is

$2 \mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathrm{l}$

$\mathrm{n} \pi+\frac{\pi}{4}, \mathrm{n} \in \mathrm{l}$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

General solution of equation

|\sin x|=\cos x

View answer and explanation

Correct option: C

2 \mathrm{n} \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathrm{l}

Option C (

2 \mathrm{n} \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathrm{l}

) is correct because it represents the general solution considering both positive and negative cases of

\sin x

within the given condition.

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