Degrees of Separation
(11pi)/4 radians in degrees.
What is 495 degrees?
The exact coordinates of the point on the unit circle that corresponds to (5pi)/6 radians.
What is (-sqrt(3/2),1/2) ?
The reason why a student is correct or incorrect when they say "y = sin(x) is not a function because sin(π/6) and sin(5π/6) both equal 1/2."
The period of the function y=5sin(3x)
What is (2pi)/3 ?
The amplitude and midline of a sin function with a maximum value of 10 and minimum value of 2.
What is an amplitude of 4 and a midline of y=6
A student converts 315 degrees to radians and gets (7pi)/5 . This is one possible mistake they could've made and the correct answer.
What is (7pi)/4 ? and any arithmetic error or dividing by 200.
The angle, in radians, that has the coordinates (1/2,-sqrt(3/2)) on the unit circle.
What is (5pi)/3 ?
What is the vertical line test?
What is the value of cos(6pi)
What is 1?
The function (sine or cosine) used to model a pendulum starting at its maximum displacement of 6 cm at time t = 0 and swinging back and forth with a period of 3 seconds.
What is cosine?
This is the arc length of a runner traveling along an arc through an angle of (5pi)/3 radians in a circular track with a 6 meter radius.
What is 10 pi meters?
The value of sin(theta) where the angle theta is formed by a line from the origin to the point (6,-8) on a coordinate plane and the positive x-axis.
What is -4/5?
The interval of decrease of the function f(x)=3sin(x)-1 on the interval [0,2pi] .
What is [pi/2,(3pi)/2] ?
The greater value between sin(7pi) or (cos10pi)
What is cos(10pi)
The equation modeling the temperature in a greenhouse which oscillates between 60 F and 90 F with a period of 24 hours, starting at the midline.
What is y=15sin(pi/12theta)+75 ?
This is the radius of the orbit of a satellite traveling an arc length of 21 km and sweeps through an angle of 3/2 radians.
What is 14 km?
The sin and cosine value of the angle theta formed by a line from the origin to the point (-5,12).
What is sin(theta)=12/13 and cos(theta)=-5/13 ?
The function with the smallest local minimum in the interval -3<x<3:
a. f(x)=-12sin(x)
b. f(x)= x^2-9
What is option A?
The value of B in the function y=Acos(Bx) when the function completes 4 full cycles on the interval [0,2pi]
What is 4?
The function modeling a riders height as a function of time for a Ferris wheel of radius 25 meters where riders start at the center of the wheel at 30 meters and a full revolution takes 40 seconds.
What is h(t)=25sin(pi/20t)+30 ?
The total distance traveled by a point on the edge of a wheel with radius of 4 feet making exactly 2.5 complete rotations.
What is 20 pi feet?
The value of sin(theta) where the angle theta is in Quadrant III and cos(theta)=-3/5
What is sin(theta)=-4/5 ?
The correct answer to this true or false statement: "y=cos(x) is a function, AND it is a one-to-one function.
What is false?
The correctness of a student who says cos(pi/2)=cos((5pi)/2)=cos((9pi)/2)=0
What is the student is correct?
The values of A, B, and D in the equation y=Asin(Btheta)+D where the function completes one full cycle every 8 hours, the max value is 120, and the min value is 40.
What is y=40sin(pi/4theta)+80 ?