If tan 2theta tan theta = 1,then the general | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given the equation: $	an 2	heta 	an 	heta = 1$This can be rewritten as: $	an 2	heta = \frac{1}{	an 	heta} = \cot 	heta$Using the identity

Vedclass · Accepted Answer

$\left( n + \frac{1}{2} \right) \frac{\pi}{3}$

Vedclass · Answer

(A) Given the equation: $	an 2	heta 	an 	heta = 1$This can be rewritten as: $	an 2	heta = \frac{1}{	an 	heta} = \cot 	heta$Using the identity $\cot 	heta = 	an \left( \frac{\pi}{2} - 	heta ight)$,we get:$	an 2	heta = 	an \left( \frac{\pi}{2} - 	heta ight)$The general solution for $	an x = 	an \alpha$ is $x = n\pi + \alpha$,where $n \in \mathbb{Z}$.Therefore: $2	heta = n\pi + \left( \frac{\pi}{2} - 	heta ight)$Adding $	heta$ to both sides: $3	heta = n\pi + \frac{\pi}{2}$Dividing by $3$: $	heta = \frac{n\pi}{3} + \frac{\pi}{6} = \left( n + \frac{1}{2} ight) \frac{\pi}{3}$.

If $\tan 2\theta \tan \theta = 1$,then the general value of $\theta$ is

Similar Questions

The general solution satisfying both the equations $\sin x = -\frac{3}{5}$ and $\cos x = -\frac{4}{5}$ is

If $\tan \theta + \tan 2\theta + \sqrt{3} \tan \theta \tan 2\theta = \sqrt{3},$ then

If $\sin \left(\frac{\pi}{4} \cot \theta\right)=\cos \left(\frac{\pi}{4} \tan \theta\right)$,then $\theta=$

If $\sin 6\theta + \sin 4\theta + \sin 2\theta = 0$,then $\theta = $

The general solution of the trigonometric equation $\tan \theta = \cot \alpha$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module