Unit Circle Review

Trig Values

100

Find Sin(90) using the unit circle

1

200

Find Sin(150) using the unit circle

1/2

300

Find Cos(225) using the unit circle

-sqrt(2)/2

400

Find tan(60) Using the unit circle

Sqrt(3)

500

Find Cot(135) using the unit circle

-1

Coterminal Angles

100

How do you find a coterminal angle 

By adding or subtracting multiples of 360

200

How many coterminal angles exist for any given angle

Infinitely many

300

Find a coterminal angle of 452 between 0 and 360 degrees

92 degrees

400

Find a coterminal angle of -17 between 0 and 360 degrees

343 degrees

500

Find the closest positive and negative coterminal angles for 294 degrees

654 degrees, -66 degrees

Reference Angles

100

What is a reference angle

The angle between the terminal side and the x-axis

200

Find the reference angle for 20 degrees

20 degrees

300

Find the reference angle for 150 degrees

30 degrees

400

Find the reference angle for 240 degrees

60 degrees

500

Find the reference angle for 310 degrees

50 degrees

Pythagorean Identity

100

What is the Pythagorean identity

cos²(theta)+sin²(theta)=1

200

Given the point P is in quadrant 3 and has an x-value of -5/6. Solve for the y-value

-sqrt(11)/6

300

given cos(theta)=sqrt(8)/3 and theta is in quadrant 1. What is sin(theta) in simplest radical form.

1/3

400

given sin(theta)=-sqrt(3)/2 and theta is in quadrant 3. What is cos(theta) in simplest radical form.

-1/2

500

given cos(theta)=sqrt(11)/6 and theta is in quadrant 1. What is sin(theta) in simplest radical form.

5/6

Miscellaneous

100

Which value on a coordinate plane is cosine associated with

X

200

Which value on a coordinate plane is sine associated with

Y

300

Which value on a coordinate plane is tangent associated with

Y/X

400

Which direction around a coordinate plane is considered a positive rotation

Counterclockwise