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 30 degrees.

What is pi/6.

100

The path of a Ferris Wheel is modeled by the following trig equation,    y = 30sin(2TTx) + 35

The leading coefficient represents the distance from the center of the Ferris Wheel to the top of the Ferris Wheel.  

What is amplitude? 

What is the radius? 

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 of the midline from the ground? 

y = 30sin(2TTx) + 35

What is 35?

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 path of a Ferris Wheel is modeled by the following trig equation,    y = 30sin(2TTx) + 35


The maximum height of the Ferris Wheel.  

What is 65 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 path of a Ferris Wheel is modeled by the following trig equation,    y = 30sin(2TTx) + 35


The minimum value of the Ferris wheel in feet.  

What is 5 ft?

500

DAILY DOUBLE

The trig function is  not on the unit circle.  


What is tan? 

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 path of a Ferris Wheel is modeled by the following trig equation,    

              y = -30sin(TTx) + 35


The height of the Ferris Wheel at 1.5 seconds. 

What is 65? 

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