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Reference Angles
Basic Identities
30-60-90/ unit circle
Trig Graphs
Conversions
100
The Reference Angle of 150 degrees is
30 degrees
100

Quotient Identity:

Tan(x)=

sin(x)/cos(x)

100
Find the sin (30 degrees)
1/2
100
How do we find the period of the graph?
2pi/b
100
State how we convert from degrees to radians
Multiply by (pi/180)
200
The Reference Angle of 230 degrees is
50 degrees
200

Pythagorean Identity:

sin^2 - 1 = 

-cos^2(x)

200
Which quadrants is tangent positive?
One and Three
200
The period of the graph y = sinx is
2pi
200
Convert 45 degrees into radians
(pi/4)
300
What is the equivalent of cos(140 degrees) using a positive acute angle?
- cos (40 degrees)
300

Even/Odd Identities:

sin(-x)=

cos(-x)=

tan(-x)=

-sin(x)

cos(x)

-tan(x)

300
Find the cosecant of 30 degrees
2
300
What does the frequency determine?
How many cycles you will see in 2pi
300
Convert pi/6 into degrees
30 degrees
400
Find the reference angle for -135 degrees
45 degrees
400

Pythagorean Identity:

cot^2(x)+1=

csc^2(x)

400
Which Quadrantal Angles has cos = 0
90 degrees, 270 degrees / or pi/2, 3pi/2
400
What does the period determine?
How long it takes to see one full cycle
400
Convert 3pi/2 into degrees
270 degrees
500
How do we find the reference angles for Quadrants II, III and IV?
180 - theta , theta - 180 , 360 - theta
500

Cofuction Identity:

Find the value of x. cos ( x +10) = sin (40 + x)

x = 20

500
For a 30,60,90 triangle; if the side opposite 90 degrees is 1. How would we find x?
Set 1 equal to 2x, and solve for x
500
The beginning of one period of the graph y = cosx is at
the maximum, or 1
500
Why do we multiply by (180/pi) to convert from radians to degrees?
When multiplying by (180/pi) the pi cancels out