If sqrt 3 cos ,theta + sin theta = sqrt 2 , t | vedclass

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

Question

(d) $\frac{{\sqrt 3 }}{2}\cos 	heta + \frac{1}{2}\sin 	heta = \frac{{\sqrt 2 }}{2}$     { dividing by $\sqrt {{{(\sqrt 3 )}^2} + {1^2

Vedclass · Accepted Answer

$n\pi + {( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$

Vedclass · Answer

(d) $\frac{{\sqrt 3 }}{2}\cos 	heta + \frac{1}{2}\sin 	heta = \frac{{\sqrt 2 }}{2}$     { dividing by $\sqrt {{{(\sqrt 3 )}^2} + {1^2}} = 2 $}

$ \Rightarrow $ $\sin \left( {	heta + \frac{\pi }{3}} ight) = \frac{1}{{\sqrt 2 }} = \sin \left( {\frac{\pi }{4}} ight)$

$ \Rightarrow $ $	heta = n\pi + {( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$.

If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is

Similar Questions

If $\cot \theta + \tan \theta = 2{\rm{cosec}}\theta $, the general value of $\theta $ is

The number of solutions of the equation $2 \theta-\cos ^{2} \theta+\sqrt{2}=0$ is $R$ is equal to

If $\frac{{\tan 3\theta - 1}}{{\tan 3\theta + 1}} = \sqrt 3 $, then the general value of $\theta $ is

The number of distinct solutions of the equation $\frac{5}{4} \cos ^2 2 x+\cos ^4 x+\sin ^4 x+\cos ^6 x+\sin ^6 x=2$ in the interval $[0,2 \pi]$ is

The number of solutions of the equation $1 + {\sin ^4}\,x = {\cos ^2}\,3x,x\,\in \,\left[ { - \frac{{5\pi }}{2},\frac{{5\pi }}{2}} \right]$ is