MCQ
જો $\sin x + \cos x = \frac{1}{5},$ તો $\tan 2x = . . .$
- A$\frac{{25}}{{17}}$
- B$\frac{{7}}{{25}}$
- C$\frac{{25}}{7}$
- ✓$\frac{{24}}{7}$
==> ${\sin ^2}x + {\cos ^2}x + 2\sin x\cos x = \frac{1}{{25}}$
$\sin 2x = \frac{{ - 24}}{{25}}$
==> $\cos 2x = \frac{{ - 7}}{{25}}$
==> $\tan 2x = \frac{{24}}{7}$.
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