List of top Mathematics Questions on limits of trigonometric functions asked in COMEDK UGET

Evaluate: \[ \lim_{x\to \frac{\pi}{2}} \left( \frac{1-\sin x}{\cos x} \right) \]

If \[ \lim_{x\to0}\left(\frac{p\sin2x+1-\cos2x}{x+\tan x}\right)=1, \] then the value of $p$ is:

Evaluate the limit \( \lim_{\theta \to \frac{\pi}{2}} \frac{1 - \sin \theta}{\left(\frac{\pi}{2} - \theta\right)\cos \theta} \)