

Question

(a) Copy and complete the following table of values for \(y = 3\sin 2\theta - \cos \theta\).



\(\theta\)
0°
30°
60°
90°
120°
150°
180°


y
-1.0


0


1.0



(b) Using a scale of 2cm to 30° 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 \(0° \leq \theta \leq 180°\).
(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.



(a) Copy and complete the following table of values for \(y = 3\sin 2\theta - \cos \theta\).



\(\theta\)
0°
30°
60°
90°
120°
150°
180°


y
-1.0


0


1.0


