66
Chapter 1 | Functions and Graphs
⎛ ⎝ 15 π 4
⎞ ⎠
c. tan
Solution
corresponds to the point ⎛
⎞ ⎠ . Therefore, sin ⎛
⎞ ⎠ = y = 3
a. On the unit circle, the angle θ = 2 π 3
⎝ 2 π 3
3
⎝ − 1 2 ,
2
2 .
b. An angle θ = − 5 π 6
corresponds to a revolution in the negative direction, as shown. Therefore,
⎛ ⎝ − 5 π 6
⎞ ⎠ = x = − 3 2 .
cos
c. Anangle θ = 15 π
π + 7 π
4 . Therefore, this angle corresponds to more than one revolution, as shown.
4 =2
corresponds to the point ⎛ ⎝ 2
⎞ ⎠ , we can conclude that
Knowing the fact that an angle of 7 π 4
2
2 , −
2
⎛ ⎝ 15 π 4
⎞ ⎠ =
y x =−1.
tan
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