JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

Let

n

be a fixed positive integer such that

\sin \frac{\pi}{2 n}+\cos \frac{\pi}{2 n}=\frac{\sqrt{n}}{2}

, then

View answer and explanation

Correct option: C

n=6

Option C (

n=6

) is correct because substituting

n=6

into the equation

\sin \frac{\pi}{2 n}+\cos \frac{\pi}{2 n}=\frac{\sqrt{n}}{2}

satisfies the equation, while other options do not.

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