JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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The value(s) of

x \in[-2 \pi, 2 \pi]

such that

\frac{\sin x+i \cos x}{1+i}, i=\sqrt{-1}

is purely imaginary, is/are given by

View answer and explanation

Correct option: A

n \pi-\frac{\pi}{4}

Option A (

n \pi - \frac{\pi}{4}

) is correct because it satisfies the condition where the real part of the given expression is zero, making it purely imaginary.

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