Mathematics WAEC / WASSCE 2009 Algebra
(a) Copy and complete the table of values for \(y = \sin x + 2 \cos x\), correct to one decimal place. x 0^\circ 30^\circ 60^\circ 90^\circ 120^\circ 150^\circ 180^\circ 210^\circ 240^\circ y 2.2 -1.2 -2.0 -1.9 (b) Using a scale of 2 cm to 30^\circ on the x- axis and 2 cm to 0.5 units on the y- axis, draw the graph of \(y = \sin x + 2\cos x\) for \(0^\circ \leq x \leq 240^\circ\). (c) Use your graph to solve the equation : (i) \(\sin x + 2 \cos x = 0\) ; (ii) \(\sin x = 2.1 - 2\cos x\). (d) From the graph, find y when x = 171^\circ.