Formulas
Coordinates
Reference Angle
Radians
Finding Remaining Trig Functions
100
This trigonometry ratio uses the fraction adjacent over hypotenuse.
What is cosine(x)
100
sin 90 degrees
What is 1
100
The angle corresponding to this reference angle is 150 degrees.
What is 30 degrees.
100
The conversion from this radian measure to degrees is 180 degrees.
What is pi/6.
100

This value of cos(theta) is produced by the point (sqrt(3)/2, 1/2) on the unit circle.

What is sqrt(3)/2?

200

This equation is a way of finding the x-coordinate on a unit circle.

What is cos(theta)=x

200
sine of 150 degrees
What is 1/2 or .5
200
The angle corresponding to this reference angle is 45 degrees.
What is 45 degrees
200
The conversion from this radian measure to degrees is 90 degrees.
What is pi/2.
200

This value of sin(theta) is produced by the point    (-2/5, sqrt(21)/5) on the unit circle.

What is sqrt(21)/5?

300

This trigonometry ratio uses the fraction hypotenuse over opposite.

What is csc(theta)

300
DAILY DOUBLE
The cosine of 3*pi/2.
300
The angle corresponding to this reference angle is 240 degrees.
What is 60 degrees
300
The conversion from this radian measure to degrees is 135 degrees.
What is 3*pi/4.
300

This value of csc(theta) is produced by the point (-3,4) and is not on the unit circle.

What is 5/4?

400

This equation gives us the y-coordinate on the unit circle.

What is sin(theta)=y

400
The sine of 4*pi/3.
What is - sqrt(3)/2
400
The angle corresponding to this reference angle is 2*pi/3.
What is 60 degrees ( or pi/3).
400
The conversion from this radian measure to degrees is 330 degrees.
What is 11*pi/6.
400

This value of sec(theta) is produced by the point (-1,1) and is not on the unit circle.

What is -sqrt(2)?

500
DAILY DOUBLE
This equation uses the terms of sine and cosine to find another trig. ratio.
500
sine of 7*pi/4.
What is -sqrt(2)/2
500
The angle corresponding to this reference angle is 7*pi/4.
What is 45 degrees (or pi/4).
500
The conversion from this radian measure to degrees is 390 degrees.
What is 13*pi/6.
500

This value of cot(theta) is produced by knowing sec(theta)=-2 and tan(theta)>0.

What is sqrt(3)/3?

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