Pre-Calculus

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

6.3 and 6.4 Supplementary Worksheet


State the a) amplitude, b) the period, and then c) graph each trigonometric function. Sketch at least two periods.

1.

a) amplitude =

b) period =

2.

a) amplitude =

b) period =

3.

a) amplitude =

b) period =

4 .

a) amplitude =

b) period =

5. Find the values on the interval [ 0 , 2π ] for which the following are true.

a) b) is undefined
c) d)

6. Write an equation of the sine function with the given amplitude and period.

a) amplitude 6, period 10π b) amplitude 0.5, period 6

7. Write an equation of the cosine function with the given amplitude and period.

a) amplitude 4, period b) amplitude , period
Pre-Calculus Name
Chapter 6 – Graphs of Trigonometric Functions Period

6.5 Supplementary Worksheet


State the a) amplitude, b) the period, c) the phase shift, d) the vertical shift, and then e) graph each trigonometric function. Sketch one period from the “start” of the function.
1 .
a) amplitude = c) phase shift =

b) period = d) vertical shift =

2 .
a) amplitude = c) phase shift =

b) period = d) vertical shift =

3 .

a) amplitude = c) phase shift =

b) period = d) vertical shift =

4 .

a) amplitude = c) phase shift =

b) period = d) vertical shift =

5. Write an equation of the sine function with amplitude 2, period π, phase shift ,

and vertical shift 1.

6. Write an equation of the cosine function with amplitude 6, period , phase shift ,

and vertical shift -5.

7. Find the values in the domain of all real numbers for which the following are true.

a) b) is undefined

c) d)