Mathematics

Problem

21. a. If

x \cos 60^\circ + y \cos 0^\circ + \sin 30^\circ - \cot 45^\circ = 5

, then find the value of

x + 2y

. b. OR Evaluate:

\frac{\tan^2 60^\circ}{\sin^2 60^\circ + \cos^2 60^\circ}