Unit Circle Game

Evaluating Unit Circle

100

What is the cosine of 3π/4?

-√2/2

200

What is the sin of 7π/4?

-√2/2

300

What is the cosine of 13π/6?

√3/2

400

What is the tangent of 7π/6?

1/√3

500

What is the tangent of π/2?

Undefined

Conversions

100

Convert 60° to exact radians

π/3

200

Convert 5π/4 to exact degrees

225°

300

Convert 13π/6 to exact degrees

390°

400

Convert 4π/3 to exact degrees

240°

500

Convert 480° to exact radians

8π/3

Solving trig Equations

100

Find solutions to cos x = 1/2 in the domain 0≤x≤π

π/3

200

Find all solutions to sin x = √2/2 for 0° ≤ x ≤ 540°

45°, 135°, 405°, 495°

300

Find all solutions for sinx= √3/2 in the domain 0≤ x≤2π

π/3, 2π/3

400

Find all solutions for tanx=0 in the domain of 0≤x≤ 360°

0°, 180°, 360°

500

Find all solutions for sin x= -√3/2 in the domain of 0≤x≤2π

4π/3, 5π/3

Evaluating Unit Circle (Challenge)

100

csc(225^o)

What is 

-sqrt2

200

tan(270^o)

What is undefined?

300

sec(7π/4)

What is 

(sqrt2)

400

This is the value of cos if the reference angle is π/4 and is in Quadrant II.

What is 

-sqrt(2)/2

500

This is the value of tan if the reference angle is π/3 and is in Quadrant IV.

What is 

-sqrt(3)?

Solve for X

100

sin(x)=1/2, 0^o<x<360^o

What are 30 degrees and 150 degrees?

200

sec(x)=-2, 0<x<2π

What are 2π/3 and 4π/3 ?

300

sin(x)=1, 0^o<x<360^o

What is x=90^o?

400

csc(x)=-(2\sqrt3)/3, 0<x<2π

What are 4π/3 and 5π/3?

500

tan(x)=-1, 0<x<2π

What are 3π/4 and 7π/4?