Exact Trig Values from Unit Circle

Choose the best match for the graph.

• 45^o

• 90^o

• 135^o

• 180^o

Based on the unit circle, what is the value of tan?

• y/r

• x/r

• r/y

• y/x

 tan 2π = 

• 0

• 1

• -1

• undefined

• csc x
• sec x
• cot x
• tan x

Based on the unit circle, what is the value of sin?

• y

• x

• x/y

• y/x

What is the measure of the given angle?

• 17pi/4

• 9pi/4

• -pi/4

• -7pi/4

sin 0 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1

sin 30 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1

sin 45 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1

sin 90 =

• 0

• ¹/₂

• ^√2/₂

• ^√3/₂

• 1