The equation $3\cos x + 4\sin x = 6$ has

If $2\sin \theta + \tan \theta = 0$, then the general values of $\theta $ are

One of the solutions of the equation $8 \sin ^3 \theta-7 \sin \theta+\sqrt{3} \cos \theta=0$ lies in the interval

Number of solutions of the equation $2^x + x = 2^{sin \ x} +  \sin x$ in $[0,10\pi ]$ is -

The number of solutions of $|\cos x|=\sin x$, such that $-4 \pi \leq x \leq 4 \pi$ is.

If $sin\, \theta = sin\, \alpha$ then $sin\, \frac{\theta }{3}$ =