Mathematics

Problem

The values of certain trigonometric ratios at special angles are to be used to evaluate a composite expression. a. (i) Find the value of

A = \sin^2 30^\circ + \cos^2 60^\circ

. b. (ii) Find the value of

B = \tan 45^\circ + \sin 30^\circ \cos 60^\circ

. c. (iii) Hence evaluate

\dfrac{A}{B}