BMSAT Kozhikode (QA) PYQs

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

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

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