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Question

Question: The principal value of sin<sup>–1</sup>\(\left\lbrack \sin\left( \frac{2\pi}{3} \right) \right\rbrac...

The principal value of sin–1[sin(2π3)]\left\lbrack \sin\left( \frac{2\pi}{3} \right) \right\rbrack is-

A

2π3\frac{2\pi}{3}

B

2π3\frac{2\pi}{3}

C

4π3\frac{4\pi}{3}

D

None of these

Answer

None of these

Explanation

Solution

sin–1[sin(π2π/3)]\left\lbrack \sin(\pi - 2\pi/3) \right\rbrack= sin–1 sin (p/3) = p/3