Solutions To Exercises Functions Worksheet Page 3
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13Solutions to Exercises
28
Exercise 1(c) Determine the values of the trigonometric functions at the angles:
with radian measure −π/2.
π
π
Solution: Since −
=
− π, the coordinates of the point P determined by the angle
2
2
π
−
rad are (0, −1). The table below list the desired values or a dash indicates that
2
the function is undefined at 3π/2 rad . Note that this answer is exactly the same as
3π
that for the angle
rad given in the previous part of this exercise. This is because
2
the two angles are coterminal since they differ by 2π.
t
P
sin
cos tan cot sec csc
−π/2 (0, −1) −1
0
−
0
−
−1
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