If q = sin–1(sin(– 600)) then one of possible value of q is | MATH - PRINCIPAL & GENERAL VALUE OF I.T.F | SolveeIt | Solveeit

Today, August 18

Question

If q = sin^–1(sin(– 600)) then one of possible value of q is

A

$\frac { \pi } { 3 }$

B

$\frac { \pi } { 2 }$

C

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

D

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

Answer

$\frac { \pi } { 3 }$

Explanation

Solution

– sin^–1 (sin (2p – 2p/3)) Ž + sin^–1 sin(2p/3)

sin^–1 sin 2p/3

p – 2p/3 = p/3