Coterminal Angles and Quadrants
Trig Ratios and the Pythagorean Theorem
Converting Between Radians and Degrees
Unit Circle Trig Ratios in Radians
Unit Circle Trig Ratios in Degrees
100

Give a positive coterminal angle for 370˚

10˚

100

What is the ratio for all secant functions?

hypotenuse/adjacent

100
What is π/3 in degrees?
60˚
100
Evaluate sin( π/4 )
sqrt(2)/2
100

Evaluate sin 405

sqrt(2)/2

200

Find a positive coterminal angle for -725˚

355˚

200

What is the ratio for all sin functions?

opposite/hypotenuse

200
What is 5π/4 in degrees?
225˚
200
Evaluate cos (11π/6)
sqrt(3)/2
200

Evaluate tan 225

1
300

Find a negative coterminal angle for 3π/2

-π/2

300
The one leg of a triangle is 6 inches and the hypotenuse is 8 inches. Find the length of the other leg.
sqrt(28) or 2sqrt(7)
300
What is 57π/60 in degrees?
171˚
300
Evaluate tan (3π / 4)
-1
300

Evaluate cos -150

-sqrt(3)/2

400

In what quadrant is the angle 1,236 located in?

QII (coterminal to 156)

400
The length of one side of a triangle is 2a and the length of the other side is 2a. Find the length of the hypotenuse
2a*sqrt(2) or sqrt(8a^2)
400
What is 390˚ in radians (as a fraction in simplest form)?
13π/6
400
Evaluate sec (4π/3)
-2
400

Evaluate sec pi

-1

500

In what quadrant is the -11π/4 located?

Q III (coterminal to 5π/4 or 225)

500

Find all six trig ratios based on the triangle on the board.

Based on board

500
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
500
Evaluate csc (π)
undefined
500

Evaluate cot -pi/2

0

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