(a) Copy and complete the following table of values for 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 for . (c) Use your graph to solve the equation: (i) ; (ii) , correct to the nearest degree. (d) Find the maximum value of y correct to one decimal place.
Explanation
x
0°
30°
60°
90°
120°
150°
180°
210°
y
9
10.3
8.8
5
-0.2
-5.3
-9
-10.3
(b) (c)(i) From the graph, (d) Maximum value of y = 10.3.