Which Ratio?
Cosine
Sine
Tangent
Applications
100
Use it when you know the length of the hypotenuse and the adjacent leg.
What is Cosine?
100

Use these sides and this ratio to find cosine of theta.

What is adjacent over hypotenuse.

100

Use these sides and this ratio to find sine of theta.

What is opposite over hypotenuse

100
The tangent of 60 degrees.
What is sqrt(3)?
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
Use it when you know the hypotenuse and the opposite leg.
What is Sine?
200
The cosine of 30 degrees.
What is sqrt(3)/2?
200
The sine of 30 degrees.
What is 1/2?
200

Tangent is the ratio of these two functions

What is sine over cosine?

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
Use it when you know the two legs.
What is Tangent?
300
The cosine of 45 degrees.
What is 1/sqrt(2)
300
The sine of 45 degrees.
What is 1/sqrt(2)?
300
The tangent of 45 degrees.
What is 1?
300
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?
400
Use it when you know want to know the opposite leg and you know the measure of the angle and other leg.
What is Tangent?
400
The cosine of 60 degrees.
What is 1/2?
400

The sine of 60 degrees.

What is square root of 3 over 2?

400
The tangent of 30 degrees.
What is 1/sqrt(3)?
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
Use it when you want to know the opposite leg and you know the measure of the angle and hypotenuse.
What is Sine?
500

Sin(50 degrees)

What is cos(40 degrees)

500

The reciprocal of sine 80 degrees.

What is cosecant of 80 degrees?

500

Cotangent 42 degrees is equal to these two expressions.

What is tangent of 58 degrees and what is one over tangent of 42 degrees?

500
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?
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