Earning Your Degrees
The Need for (Angular) Speed
Get to the Point
Making Waves
Sin-1 of the Times
200
This is 30 degrees in radians.
What is
pi / 6
200
This is the formula for arc length.
What is
s = rtheta
200
It's the sin value for an angle of
pi/4
What is
sqrt(2)/2
200
This is the period of the cotangent function.
What is pi ?
200
This is the angle returned from arccos -1.
What is
pi
400
This is 90 degrees in radians.
What is
pi/2
400
This is the formula for angular speed.
What is
omega = theta/t
400
It's the cosine value for an angle of
pi/3
What is 1/2 ?
400
This is the period of the function sin 2x
What is pi ?
400
This is the range of the inverse tangent function.
What is between
- (pi)/2 and pi/2
600
This is 180 degrees in radians.
What is
pi
radians?
600
This is the formula for linear speed.
What is
v = (rtheta)/t or v = romega
600
This is the sine value of the angle
-(3pi)/2
What is 1 ?
600
This is the period of the function - 3 cos (5x) - 2.
What is (2pi)/5 ?
600
This is angle returned from arctan (-3).
What is about -1.25 radians or about -72 degrees.
800
This is
(5pi) / 3
radians converted to degrees.
What is 300 degrees?
800
It's the area covered by this law sprinkler rotating through 90 degrees. 
800
This is the tangent value for the angle
(5pi)/4
What is 1 ?
800
This is where the "first" two asymptotes occur for the cotangent function.
What is 0 and pi ?
800
This is the result of cos[arcsin(3/7)]
What is
(2sqrt(10))/7
1000
This is
(-11pi) / 4
converted to degrees.
What is -495 degrees?
1000
The propellers on a Cessna small-passenger plane have a diameter of 8 feet. At full throttle, the propellers turn at a rate of 9000 revolutions per hour. This is the linear speed in feet per minute at the tip of the blades.
What is 1200 pi feet per minute or about 3769.9
1000
If the secant of an angle theta is 2, this is the sine value of the angle that lies in the fourth quadrant.
What is
- sqrt(3)/2
1000
The graph of sin(x+pi/2) is equivalent to this trig function.
What is cos x ?
1000
This is an equivalent algebraic expression for sin(arctanx/2)
What is
x/sqrt(4+x^2)