If $$\sin \theta = - {1 \over 2}$$ and $$\tan \theta = {1 \over {\sqrt 3 }}$$, then in which quadrant does $$\theta$$ lie?

If $$p = \cos ec\theta - \cot \theta $$ and $$q = {(\cos ec\theta + \cot \theta )^{ - 1}}$$, then which one of the following is correct?

For the following two (02) items:
Let sin A + sin B = p and cos A + cos B = q

What is p/q equal to?

For the following two (02) items:
Let sin A + sin B = p and cos A + cos B = q

What is $\frac{p^{2}-q^{2}}{p^{2}+q^{2}}$ equal to?