First slide

Introduction to ITF

Question

The set of values of x such that $\sin^{- 1} x - \cos^{- 1} x > 0$ are

Easy

A

$x \in (\frac{1}{\sqrt{2}}, 1)$
B

$x \in (1, \frac{1}{\sqrt{2}})$
C

$x \in (\frac{1}{\sqrt{2}}, - 1)$
D

$(\frac{1}{\sqrt{2}}, 1)$

Solution

$\begin{array}{l} \sin^{- 1} x - \cos^{- 1} x > 0 \Rightarrow \sin^{- 1} x - (\frac{π}{2} - \sin^{- 1} x) > 0 \\ \Rightarrow \sin^{- 1} x > \frac{π}{4} \\ ∴ x \in (\frac{1}{\sqrt{2}}, 1) a s |x| \leq 1 \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App