JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The number of values of

\theta

in the interval

\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)

satisfying the equation

(1-\tan \theta)(1+\tan \theta) \sec ^2 \theta+2^{\tan ^2 \theta}=0

View answer and explanation

Correct option: C

Option D (None of these) is correct because the equation simplifies to a form where there are no solutions for θ in the given interval.

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