First slide

Introduction to ITF

Question

If $x + \frac{1}{x} = 2$ , the principle value of $\sin^{- 1} x$ is

Very Easy

A

$\frac{π}{4}$
B

$\frac{3 π}{2}$
C

$\frac{π}{2}$
D

$π$

Solution

$\begin{array}{l} W e h a v e x + \frac{1}{x} = 2 \Rightarrow x = 1 \\ ∴ \sin^{- 1} x = \frac{\sin^{- 1} (1) = π}{2} \end{array}$

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