5.2. The Sinusoidal Function Family http://www.ck12.org
The 16 points around the circle are chosen because they correspond to the key points of the unit circle. Their heights
(y-values) and widths (x-values) are already known and can be filled in.
First consider the height at each of the points as you travel around half of the circle from the starting location. Keep
track of your work in a table.
TABLE5.3:
Angle (radians) Height (units)
0 0
π 6 12
π 4 √ 22 ≈ 0. 707
π 3 √ 23 ≈ 0. 866
π 2 1
23 π √ 23 ≈ 0. 866
34 π√ 2
5 π^2 ≈^0.^707
6 12
π 0Notice the symmetry of the height aroundπ 2 and see the rest of the table in the examples. Once the table is finished,
you can plot these points on a regular coordinate plane where thexaxis is the angle and theyaxis is the height. This
is the first part of the graph of the sine function.