JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

If the expression

\frac{{\left[ {\sin \left( {\frac{x}{2}} \right) + \cos \left( {\frac{x}{2}} \right) - i\tan \left( x \right)} \right]}}{{\left[ {1 + 2i\sin \left( {\frac{x}{2}} \right)} \right]}}

is real then the set of all possible value of

x

View answer and explanation

Correct option: B

2n\pi

Option B (

2n\pi

) is the correct answer because it satisfies the condition for the given expression to be real by making the imaginary part zero.

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