Formulas
Coordinates
Reference Angle
Radians
Applications
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
The maximum height that a 20 foot ladder can reach safely if we follow the suggestion that the ladder should not make an angle grater that 75 degrees with the ground.
What is 19.32 ft?
200
This equation is a way of finding the x-coordinate on a unit circle.
What is x=cos(theta)
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
The distance above sea level after a plane ascends from 1 mile at a 3 degree angle for 60 ground miles.
What is 4.1 mi?
300
This trigonometry ratio uses the fraction hypotenuse over opposite.
What is cosecant(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
The length of a ski run with a vertical drop of 1100 feet and angle of elevation of 24.4 degrees.
What is 2663 ft?
400

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

What is y=sin(theta)

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
The angle of depression of a sledding run 300 yards long with a vertical drop of 27.6 yards.
What is 5.3 degrees?
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
The angle of elevation of the sun when a 7.6 meter flagpole casts an 18.2 meter shadow, rounded to the nearest degree.
What is 22.7 m?
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