The Unit Circle & Trigonometry

Standard Angles - Radians

100

What is 0 degrees on the unit circle in Radians?

0 Radians

200

What is 90 degrees on the unit circle (simplified) in Radians?

Pi/2 Radians

300

What is 120 degrees on the unit circle (simplified) in Radians?

2Pi/3 Radians

400

What is 210 degrees on the unit circle (simplified) in Radians?

7Pi/6 Radians

500

What is 315 degrees on the unit circle (simplified) in Radians?

7Pi/4 Radians

Standard Angles - Degrees

100

What is Pi Radians in degrees on the unit circle?

180^o

200

What is Pi/4 Radians in degrees on the unit circle?

45^o

300

What is 5Pi/6 Radians in degrees on the unit circle?

150^o

400

What is 3Pi/4 Radians in degrees on the unit circle?

135^o

500

What is 17Pi/6 Radians in degrees on the unit circle?

510^o

6 Trig Functions

100

What is Sin(180^o)?

0

200

What is Cos(Pi/3)?

1/2

300

What is the formula for Cot(θ)?

x/y

400

What is Csc(135^o)?

2(√2)/2

500

What is Sec(11Pi/6)?

2(√3)/3

Positive or Negative?

100

Is Sin(45^o) positive or negative?

Positive

200

Is Tan(2Pi/3) positive or negative?

Negative

300

Is Csc(150^o) positive or negative?

Positive

400

Is Sec(4Pi/3) positive or negative?

Negative

500

In which quadrants is Cot(θ) negative?

Quadrants 2 and 4