(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.



x
0°
30°
60°
90°
120°
150°
180°
210°


y

10.3


-0.2
-5.3

-10.3


~(b) Using a scale of 2cm to 30° 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 \(0° \leq x \leq 210°\).
(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.



(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.



x
0°
30°
60°
90°
120°
150°
180°
210°


y

10.3


-0.2
-5.3

-10.3
~(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.



(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.



x
0°
30°
60°
90°
120°
150°
180°
210°


y

10.3


-0.2
-5.3

-10.3
~(d) Find the maximum value of y correct to one decimal place.



(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.



x
0°
30°
60°
90°
120°
150°
180°
210°


y

10.3


-0.2
-5.3

-10.3
