If $\sin (A + B) =1 $ and $\cos (A - B) = \frac{{\sqrt 3 }}{2},$ then the smallest positive values of $A$ and $ B$ are
${60^o},{\rm{ }}{30^o}$
${75^o},{\rm{ }}{15^o}$
${45^o},{\rm{ }}{60^o}$
${45^o},{\rm{ }}{45^o}$
One of the solutions of the equation $8 \sin ^3 \theta-7 \sin \theta+\sqrt{3} \cos \theta=0$ lies in the interval
If $\tan m\theta = \tan n\theta $, then the general value of $\theta $ will be in
If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is
The number of solution of the equation $2\cos ({e^x}) = {5^x} + {5^{ - x}}$, are
Find the general solution of the equation $\cos 3 x+\cos x-\cos 2 x=0$