First slide

Trigonometric equations

Question

The set of values of $' x'$ for which $\frac{\tan 3 x - \tan 2 x}{1 + \tan 3 x \tan 2 x} = 1$ is

Moderate

A

$ϕ$
B

${π / 4}$
C

${n π + \frac{π}{4}; n \in z}$
D

${2 n π + \frac{π}{4}; n \in z}$

Solution

$\tan x = 1$
$x = n π + \frac{π}{4}$

For this value of $x,$

$\tan 2 x$ is not defined

$∴$ solution set $= ϕ$

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