Question

solve it with explanation Q - 20

Answer 1

Step-by-step explanation:

We have,

$2 \sin^{ - 1} \bigg( \frac{ \sqrt{3} }{2} \bigg) - \cos^{ - 1} \bigg( - \frac{1 }{2} \bigg) + 3 \tan^{ - 1} (1)$

$= 2. \frac{\pi}{3} - \bigg(\pi - \frac{\pi}{6} \bigg)+ 3 . \frac{\pi}{4}$

$= \frac{2\pi}{3} - \frac{5\pi}{6} + \frac{3\pi}{4}$

$= \frac{8\pi - 10\pi + 9\pi}{12}$

$= \frac{7\pi }{12}$