First slide

Introduction to ITF

Question

The principal value of $S i n^{- 1} (S i n (\frac{2 π}{3}))$ is

Easy

A

$(\frac{2 π}{3})$
B

$(\frac{π}{3})$
C

$(\frac{- π}{3})$
D

$(\frac{- 2 π}{3})$

Solution

$S i n^{- 1} (S i n \frac{2 π}{3}) = S i n^{- 1} [S i n (π - \frac{π}{3})] = S i n^{- 1} (S in \frac{π}{3}) = \frac{π}{3}$

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