Mathematics WAEC / WASSCE 1999 Algebra
(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place. x 0^\circ 30^\circ 60^\circ 90^\circ 120^\circ 150^\circ 180^\circ 210^\circ y 10.3 -0.2 -5.3 -10.3 (b) Using a scale of 2cm to 30^\circ on the x- axis and 2 cm to 1 unit on the y- axis, draw the graph of \(y = 9 \cos x + 5 \sin x\) for \(0^\circ \leq x \leq 210^\circ\). (c) Use your graph to solve the equation: (i) \(9\cos x + 5\sin x = 0\); (ii) \(9\cos x+ 5\sin x = 3.5\), correct to the nearest degree. (d) Find the maximum value of y correct to one decimal place.