List of top Mathematics Questions on Trigonometric Identities asked in Tripura JEE

If $ 0<\theta<\pi $ and $ \cos \theta + \sin \theta = \frac{1}{2} $, then the value of $ \tan \theta $ is:
The value of \[ \tan^{-1} \left( \frac{\sin 2 - 1}{\cos 2} \right) \] is: