JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The most general solutions of the equation

\sec ^2 x=\sqrt{2}\left(1-\tan ^2 x\right)

are given by

View answer and explanation

Correct option: C

n \pi \pm \frac{\pi}{8}

Option C (

n \pi \pm \frac{\pi}{8}

) is correct because by simplifying the given equation, we get

\tan^2 x = \tan^2 \frac{\pi}{8}

, which leads to the general solution

x = n \pi \pm \frac{\pi}{8}

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