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
If the angular speed of a fan is 14pi radians per second, and the blades of the fan are 16 inches long, this is the linear speed of the fan at the tip of the blades in inches per second.
What is 224pi inches per second or about 703.7 inches per second ?
600
This is the sine value of the angle
-(3pi)/2
What is 1 ?
600
This is the phase shift of the function
- 3 cos (5x - (2pi)/3) - 2.
What is
(2pi)/15 to
?
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
If the angular speed of a fan is 14pi radians per second, and the blades of the fan are 16 inches long, this is the number of rotations the blades make per second.
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 feet per minute
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
A trigonometric function shows the maximum and minimum average temperatures for a year in Florida. If the max is 95, and the minimum is 45, this is the amplitude of the function.
What is 25 ?
1000
This is an equivalent algebraic expression for sin(arctanx/2)
What is
x/sqrt(4+x^2)