Page 44 - Calculus Workbook For Dummies

28 Part I: Pre-Calculus Review

m Sketch y = sinx and y = cosx.

y y
y = sinx y = cosx
1 1
x x
-90 90 180 270 360 -90 90 180 270 360
-1 -1

n Using your answers from problem 10, complete the following table of inverse trigonometric
functions.
1
1
-
sin c m = 30c tan - 1 3 = π radians
2 3
1
- 1 - 1 π
sin c - m = - 30c sin 1 = radians
2 2
1
-
1 cos 1 = 0 radians
- 1
cos c - m = 120c
2 π
-
1
cos 0 = radians
- 1
1 = -
tan ^ - h 45c 2
Don’t forget — inverse sine and inverse tangent answers have to be between –90° and
90° (or - π and π radians) inclusive. And inverse cosine answers must be between 0°
2 2
and 180° (or 0 and π radians) inclusive.