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(a) Copy and complete the table of values for \(y = \sin x + 2 \cos x\), correct to one ...

(a) Copy and complete the table of values for \(y = \sin x + 2 \cos x\), correct to one decimal place.
x 30° 60° 90° 120° 150° 180° 210° 240°
y 2.2 -1.2 -2.0 -1.9



(b) Using a scale of 2 cm to 30° 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 \(0° \leq x \leq 240°\).
(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°.




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