Mathematics WAEC / WASSCE 1993 Algebra
(a) Copy and complete the following table of values for \(y = 3\sin 2\theta - \cos \theta\). \(\theta\) 0^\circ 30^\circ 60^\circ 90^\circ 120^\circ 150^\circ 180^\circ y -1.0 0 1.0 (b) Using a scale of 2cm to 30^\circ on the \(\theta\) axis and 2cm to 1 unit on the y- axis, draw the graph of \(y = 3 \sin 2\theta - \cos \theta\) for \(0^\circ \leq \theta \leq 180^\circ\). (c) Use your graph to find the : (i) solution of the equation \(3 \sin 2\theta - \cos \theta = 0\), correct to the nearest degree; (ii) maximum value of y, correct to one decimal place.