4. let $(\theta + \frac{\pi}{6})$ is an obtuse angle (in III -quadrant) and if $sin(\theta + \frac{\pi}{6}) = \frac{1}{2}$; then find: i. $cos(\theta - 60^\circ)$ ii. $tan(\frac{\theta}{4} + \frac{\pi}{3})$ iii. $cos(\theta + 30^\circ)$ iv. $tan(\theta)$ v. $cos^2(\theta - 60^\circ) + sin^260^\circ$ vi. $\frac{sin(\theta - 60^\circ)}{cos^2 30}$
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