First slide

Trigonometric equations

Question

The general solution of $\frac{\tan 5 x - \tan 4 x}{1 + \tan 5 xtan 4 x} = 1$ is

Moderate

A

$nπ + \frac{π}{4}, \forall n \in Z$
B

$nπ \pm \frac{π}{4}, \forall n \in Z$
C

$ϕ$
D

$nπ = \frac{π}{6}, \forall n \in Z$

Solution

$\begin{array}{l} \frac{\tan 5 x - \tan 4 x}{1 + \tan 5 xtan 4 x} = 1 \\ \Rightarrow \tan (5 x - 4 x) = 1 \\ \Rightarrow \tan x = 1 \\ \Rightarrow x = nπ + \frac{π}{4}, n \in Z \end{array}$

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