Chapter 2 Review

Unit Circle

100

State the coordinates of the corresponding point on the unit circle: θ=-π/3 

What is (1/2, -√3/2 )

200

State the coordinates of the corresponding point on the unit circle: θ=7π/4

What is (√2/2, -√2/2)

300

State the coordinates of the corresponding point on the unit circle: θ=8π

What is (1,0)

400

Sketch a unit circle. In your circle, sketch an angle in standard position so that the angle has: A negative cosine and a negative sine.

Show your Sketch!

500

Evaluate the expression without using a calculator.

tan(7π/6)

-√(3)/3

Evaluating Sine, Cosine, and Tangent

100

What is Mr. Fischer's dogs Name?

Goose

200

Evaluate each of the following expressions by using special right triangles and the unit circle (give exact values). (Don't use a calculator): sin(5π/3)

-√3/2

300

Evaluate each of the following expressions by using special right triangles and the unit circle (give exact values). (Don't use a calculator): sin(π/4)

√2/2

400

Evaluate each of the following expressions by using special right triangles and the unit circle (give exact values). (Don't use a calculator): cos(-2π/3)

-1/2

500

Evaluate each of the following expressions by using special right triangles and the unit circle (give exact values). (Don't use a calculator): cos(17π/3)

1/2

Rewrite Expressions with Exponents and Radicals

100

Evaluate each expression without using a calculator:  64^2/3

16

200

Evaluate each expression without using a calculator:  125^2/3

25

300

Evaluate each expression without using a calculator: 

(-27x⁹)^1/3

-3x³

400

Simplify:

√(27) + 2√(48)

11√3

500

Rewrite the following expression using the properties of exponents: (8a⁶/27)^-2/3

9/4a⁴

Unit Circle

100

Convert the following Radian measures to Degrees: 4π/3

240 Degrees

200

Convert each the following angle measures from degrees to radians or radians to degrees. Give exact values: 110 Degrees

11π/18

300

What are two different angles that are coterminal with 3π/4

-5π/4 , 11π/4 , 19π/4

400

What is the radius of the unit circle?

1 

500

In what quadrant is 19π/4 located?

II

Random

100

Let f(x) = 3x²+ 7x and g(x) = 2x + 1. Write an equation for each of the following function operations.

(f(g(x))

12x²+26x+10

200

Who performed at half time of the Super Bowl?

The Weeknd

300

Evaluate:

5!

120

400

Graph f(x) = 3cos(x+π)

Show graph

500

Write the inverse of f(x)

f(x) = 2(x/5)³

f^-1(x) = 5 * ³√(x/2)