Formulas
This trigonometry ratio uses the fraction adjacent over hypotenuse.
What is cosine(x)
The maximum height that a 20-foot ladder can reach safely is if we follow the suggestion that the ladder should not make an angle greater than 75 degrees with the ground.
What is 19.32 ft?
This equation is a way of finding the x-coordinate on a unit circle.
What is x=cos(theta)
The angle corresponding to this reference angle is 225 degrees.
What is 45 degrees?
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?
This trigonometry ratio uses the fraction hypotenuse over opposite.
What is cosecant(theta)
DAILY DOUBLE
The cosine of 3*pi/2.
The angle corresponding to this reference angle is 240 degrees.
What is 60 degrees
The length of a ski run with a vertical drop of 1100 feet and an angle of elevation of 24.4 degrees.
What is 2663 ft?
This equation gives us the y-coordinate on the unit circle.
What is y=sin(theta)
The angle of depression of a sledding run is 300 yards long with a vertical drop of 27.6 yards.
What is 5.3 degrees?
DAILY DOUBLE
This equation uses the terms of sine and cosine to find another trig. ratio.
The angle corresponding to this reference angle is 7*pi/4.
What is 45 degrees (or pi/4).
The conversion from this radian measure to degrees is 390 degrees.
What is 13*pi/6.
The sun's elevation angle when a 7.6-meter flagpole casts an 18.2-meter shadow, rounded to the nearest degree.
What is 22.7 m?