List of top Mathematics Questions on Trigonometric Equations asked in TS EAMCET

Number of solutions of the equation \[ \sin\theta+\sin3\theta+\sin5\theta=0 \] in \([-\pi,\pi]\) is

Number of solutions of equation \[ 3^{2\sin^2x}+3^{2\cos^2x}=6 \] lying in interval \[ [-\pi,\pi] \] is