First slide

Properties of ITF

Question

If $x = \tan^{- 1} (1) + \cos^{- 1} (- \frac{1}{2}) + \sin^{- 1} (- \frac{1}{2})$ $a n d$ $y = \cos (\frac{1}{2} \cos^{- 1} \frac{1}{8})$ $t h e n$

Moderate

A

$x = 2 π y$
B

$y = 3 π x$
C

$x = π y$
D

$y = π x$

Solution

$W e h a v e x = \tan^{- 1} (1) + \cos^{- 1} (- \frac{1}{2}) + \sin^{- 1} (- \frac{1}{2}) = \frac{π}{4} + \frac{π}{2} = \frac{3 π}{4} L e t \cos^{- 1} \frac{1}{8} = α . T h e n \cos α = \frac{1}{8} . N o w y = \cos (\frac{1}{2} \cos^{- 1} \frac{1}{8}) = \cos \frac{α}{2} = \sqrt{\frac{1 + \cos α}{2}} = \sqrt{\frac{1 + \frac{1}{8}}{2}} = \frac{3}{4} ∴ x = \frac{3 π}{4} = πy$

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