Everything Maths Grade 10

Choose an appropriate scale and plot the values ofon thex-axis and ofsinon they-axis. Round answers
to 2 decimal places.

 0 ° 30 ° 60 ° 90 ° 120 ° 150 ° 180 ° 210 ° 240 ° 270 ° 300 ° 330 ° 360 °

sin

SOLUTION

Step 1: Substitute values for

 0 ° 30 ° 60 ° 90 ° 120 ° 150 ° 180 ° 210 ° 240 ° 270 ° 300 ° 330 ° 360 °

sin 0 0,5 0,87 1 0,87 0,5 0 0,5 0,87  1 0,87 0,5 0

Step 2: Plot the points and join with a smooth curve

30 ◦ 60 ◦ 90 ◦ 120 ◦ 150 ◦ 180 ◦ 210 ◦ 220 ◦ 270 ◦ 300 ◦ 330 ◦ 360 ◦

 1

1



y

Notice the wave shape of the graph. Each complete wave takes 360 °to complete. This is called the period.
The height of the wave above and below thex-axis is called the graph’s amplitude. The maximum value of
y=sinis 1 and the minimum value is1.

Domain:[0°; 360°]

Range:[1; 1]

x-intercepts:(0°; 0),(180°; 0),(360°; 0)

y-intercept:(0°; 0)

Maximum turning point:(90°; 1)

Minimum turning point:(270°;1)

188 6.6. Trigonometric functions