Pre-Calculus

Pre-Calculus Name
Chapter 6 – Graphs of Trigonometric Functions Period

6.8 Supplementary Worksheet

1. State the domain and range of the following functions.

a) y = b) y = Arcsin x c) y = arctan x

D: D: D:
R: R: R:

2. Find the exact value.

a. b.
c. d.
e. f.


State the a) amplitude, b) the period, c) the phase shift, d) the vertical shift, and then e) graph each trigonometric function. Sketch at least two periods.
3 .
a) amplitude = c) phase shift =

b) period = d) vertical shift =

4 .

a) amplitude = c) phase shift =

b) period = d) vertical shift =

5. Find the values of for which each equation is true.

a) b)