The most general value of theta which will s | vedclass

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

Question

(d) $\sin 	heta = - \frac{1}{2} = \sin \left( { - \frac{\pi }{6}} ight) = \sin {m{ }}\left( {\pi + \frac{\pi }{6}} ight)$

$	an 	heta = \fr

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(d) $\sin 	heta = - \frac{1}{2} = \sin \left( { - \frac{\pi }{6}} ight) = \sin {m{ }}\left( {\pi + \frac{\pi }{6}} ight)$

$	an 	heta = \frac{1}{{\sqrt 3 }} = 	an \left( {\frac{\pi }{6}} ight) = 	an \left( {\pi + \frac{\pi }{6}} ight)$

$\Rightarrow 	heta = \left( {\pi + \frac{\pi }{6}} ight)$

Hence general value of $	heta $ is $2n\pi + \frac{{7\pi }}{6}$.

The most general value of $\theta $ which will satisfy both the equations $\sin \theta = - \frac{1}{2}$ and $\tan \theta = \frac{1}{{\sqrt 3 }}$ is

Similar Questions

The set of values of $‘a’$ for which the equation, $cos\, 2x + a\, sin\, x = 2a - 7$ possess a solution is :

The general solution of $\sin x - \cos x = \sqrt 2 $, for any integer $n$ is

If $4{\sin ^4}x + {\cos ^4}x = 1,$ then $x =$

$\alpha=\sin 36^{\circ}$ is a root of which of the following equation

Find the general solution of the equation $\sin x+\sin 3 x+\sin 5 x=0$