If a pole 6 m high casts a shadow $2\sqrt{3}$ m long on the ground, then the sun's elevation is

If $1 + \sin^2\theta = 3 \sin \theta \cos \theta$, then $\tan \theta$ can take values

$\dfrac{\sin \theta}{(1+ \cos \theta)}$ is equal to

If a pole is 6 meters high and casts a shadow $2\sqrt{3}$ meters long on the ground, then the sun's elevation is

If $\cos\alpha + \cos\beta + \cos\gamma = 3$, then $\cos^3\alpha + \cos^3\beta + \cos^3\gamma$ will be

In $\triangle ABC$, $\angle A = 90^{\circ}$, if $\tan C = \sqrt{3}$, then find the value of $\sin B + \cos C - \cos^2 B$