Worksheet 4,5,6A,6B,7,8,9,10

Read all directions carefully. Circle or box all final answers.

1. A central angle 𝜃 in a circle of radius 5 cm cuts off an arc of length 15 centimeters. What is the radian measure of 𝜃.

2. For each of the following angles, - Draw the angle in standard position.

- Convert the radian measure using exact values.

- Name the reference angle in BOTH degrees and radians.

a. 450∘ b. 50∘ c. 135∘

3. Use the unit circle the find all the values of 𝜃 between 0 and 2𝜋 for which the given statement is true.

a. sin(𝜃) = 1

2

b. cos(𝜃) = − 1

2

c. tan(𝜃) = −√3

Math 347 – Skills for Trigonometry

Worksheet – Degree/Radians and Circular Functions

Name _________________________

4. Use the unit circle to find the six trigonometric functions to each angle. a. 135∘ b. 270∘

c. 7𝜋

4

5. Give both an exact answer and an answer rounded to two decimal place for the following expressions. a. tan 0

b. tan 𝜋

6

c. tan 𝜋

4

d. tan 𝜋

3

e. tan 𝜋

2

f. Use parts a-e to describe how tan(𝑡) varies from 0 to 𝜋

2