Formulas
Coordinates
Reference Angle
More Coordinates
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

Find the exact value of tan(x), if the point (-5,-2) is on the terminal side of an angle.

What is 2/5

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

Find the exact value of csc(x), if the point (-4,10) is on the terminal side of an angle.

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

tan(x) > 0 and sin(x)<0 ; tan(x) = 15/8

Find cos(x).

What is -8/17

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

cot(x)=-4, sec(x) >0. Find sec(x)

What is 

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

Use the unit circle

sin(-16pi/6)

What is -1.

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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