Reference Angles
Cofunctions
30-60-90/ unit circle
Trig Graphs
Conversions
100
The Reference Angle of 150 degrees is
30 degrees
100
What are Cofunctions?
Two functions that Complement each other, sum of angles = 90 degrees
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
Determine the Cofunctions for; cos, cot, sec
cos (theta) = sin (90- theta), cot (theta) = tan (90-theta), sec(theta) = csc (90- theta)
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
Rewrite tan (95) as a function value of an acute angle less than 45 degrees
- cot (5)
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
Rewrite csc (5pi/6) in terms of a cofunction and find its exact value
sec(60 degrees) = 2
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
Find the value of x. tan ( x +10) = cot (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
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