(a) Copy and complete the table of values for the relation
x
0°
30°
60°
90°
120°
150°
180°
210°
240°
270°
y
1.0
2.7
0.0
-0.7
(b) Using scales of 2 cm to 30° on the x- axis and 2 cm to 1 unit on the y- axis, draw the graph of . (c) Use the graph to find the values of x for which .
Explanation
(a)
x
0°
30°
60°
90°
120°
150°
180°
210°
240°
270°
y
1.0
2.0
2.7
3.0
2.7
2.0
1.0
0.0
-0.7
-1.0
(b) (c) (Given) Multiply through by 2 ; Add to both sides ; Draw the line on the same axis as . The line cuts the curve at points P and Q where x = 15° and x = 168°. Hence, the values of x for which are 15° and 168°.