^ -1 1 2 +2 ^ -1 1 2 is equal to: - Vidyadip

MCQ

$\cos^{-1}\frac{1}{2}+2\sin^{-1}\frac{1}{2}$ is equal to:

A
$\frac{\pi}{4}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{3}$
✓
$\frac{2\pi}{3}$

✓

Answer

Correct option: D.

$\frac{2\pi}{3}$

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Directions: In the following questions, the Assertions $(A)$ and Reason$(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$ if $\text{y}=\tan5\text{x}^\circ,$ then $\frac{\text{dy}}{\text{dx}}=\frac{5\pi}{180}\sec^2(5\text{x}^\circ)$
Reason$(R) \pi^\text{c}=90^\circ$