problem 1016
Evaluate the following: (i) \( \sin 60^\circ \cos 30^\circ + \sin 30^\circ \cos 60^\circ \) (ii) \( 2 \tan^2 45^\circ + \cos^2 30^\circ - \sin^2 60^\circ \) (iii) \( \frac{\cos 45^\circ}{\sec 30^\circ + \cosec 30^\circ} \) (iv) \( \frac{\sin 30^\circ + \tan 45^\circ - \cosec 60^\circ}{\sec 30^\circ + \cos 60^\circ + \cot 45^\circ} \) (v) \( \frac{5 \cos^2 60^\circ + 4 \sec^2 30^\circ - \tan^2 45^\circ}{\sin^2 30^\circ + \cos^2 30^\circ} \)