Pre-Calculus

Review: 6.1 to 6.4 QUIZ

3. Change to radian measure in terms of .

4. Change radians to degree measure.
5. Given a central angle of 76.4, find the length of the intercepted arc in a circle of radius 6 centimeters.



Formula: .
6. Find the area of sector if the central angle measures radians and the radius of the circle is 2.6 meters.

Formula: .

Formula: . Formula: or .

7. A belt runs a pulley that has a diameter of 12 centimeters. If the pulley rotates at 80 revolutions per minute, what is its angular velocity in radians per second and its linear velocity in centimeters per second?

8. Use the unit circle to evaluate each expression.

a) tan

b) cos

9 . Graph .

a) amplitude =

b) period =

10. State the amplitude and period for each function.

a) b)

11. Write an equation of the sine function with amplitude 5 and period .

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

6.7 Supplementary Worksheet

1. Write an equation of the tangent function with period 2π, phase shift π, and vertical shift –1.

2. Write an equation of the secant function with period π, phase shift , and vertical shift 2.

3. State the period and phase shift of the function

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 of the function.
4 .
a) amplitude = c) phase shift =

b) period = d) vertical shift =

5 .
a) amplitude = c) phase shift =

b) period = d) vertical shift =