Principal Angles and Quadrants
Trig Ratios and the Pythagorean Theorem
Converting Between Radians and Degrees
Unit Circle Trig Ratios
Reference Angles and Quadrants
100

Give the principal angle for -10˚

350˚

100

Find the cosine of pi/4 

sqrt(2)/2

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

What is the reference angle of 120o?

60o

200

Find the principal angle for -5825˚

295˚

200

Find the tan of the 3pi/4 

-1

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

What is the reference angle and quadrant of 5pi/3

pi/3, Q4

300

Find the principal angle for 89π/17

21π/17 

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

What is the reference angle and quadrant of 13pi/4

pi/4, Q3

400

In what quadrant is the angle 103π/15 located?

Q2

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 sin (23π/6)

-1/2

400

How many of these lie on the second quadrant?

-pi/4                       485o                        -11pi/4

7pi/4                      2345o                     -1345o 

4440o                        95pi/13                   25pi/7

 3

500

In what quadrant is the angle 7C located?

Q 1 (There are ~6.28 radians in a complete circle, so 7C is QI)

500
The lengths of the legs of a triangle are 24, 26, and 10. Is this a right triangle?
Yes-- 24^2 + 10^2 = 26^2
500
What is 204˚ in radians (as a fraction in simplest form)?
17π/15
500

Evaluate tan (3π/2)

undefined

500

What is tan(151pi/3) ?

sqrt(3)

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