First slide

Properties of ITF

Question

If $\sec^{- 1} \sqrt{1 + x^{2}} + \cos e c^{- 1} \frac{\sqrt{1 + y^{2}}}{y} + \cot^{- 1} \frac{1}{z} = π,$ then

Moderate

A

$x + y + z = 0$
B

$x + y + z = 1$
C

$x + y + z = x y z$
D

$x + y + z = - x y z$

Solution

$L e t x = \tan A, y = \tan B, z = \tan C . T h e n s e c^{- 1} (s e c A) + \cos e c^{- 1} (\cos e c B) + c o t^{- 1} (co t C) = π \Rightarrow A + B + C = π \Rightarrow tanA + tanB + tanC = tanAtanBtanC \Rightarrow x + y + z = xyz$

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