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Mathematics Question on Properties of Inverse Trigonometric Functions

The value of cos⁡−1(cot⁡(π2))+cos⁡−1(sin⁡(2π3))\cos^{-1} \left(\cot\left(\frac{\pi}{2}\right)\right) + \cos^{-1} \left(\sin\left(\frac{2\pi}{3}\right)\right) is

A

2π3\frac{2 \pi }{3}

B

π3\frac{\pi }{3}

C

π2\frac{\pi }{2}

D

π\pi

Answer

2π3\frac{2 \pi }{3}

Explanation

Solution

Answer (a) 2π3\frac{2 \pi }{3}