(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...

Question 1 Report

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

\(\theta\) 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.