Convert the angle 5pi/7 into degrees. Round to the nearest degree
What is 129 degrees.
100
Convert "5 revolutions per second" as an angular speed in radians per second. Use pi=3.14 to round answer
What is 31.4 radians per second
100
Use the unit circle to evaluate cos(5pi/4)
What is negative square root of 2 over 2
100
Given the triangle, evaluate cos(theta), sin(theta), and tan(theta). Rationalize if necessary.
What is cos(theta)=square root of 3 over 2, sin(theta)=1/2, tan(theta)=2 times square root of three over 3
100
Given the triangle, solve for a. Round to nearest tenth.
What is 528.6 yards
200
Convert the angle 310 degrees into radians. Keep answer in fraction form time pi.
What is 31pi/18
200
Find the length of the arc on a circle with radius 12 inches and theta = pi/4. Use the estimate pi=3.14 to round your answer
What is 9.42 inches
200
Use the unit circle to evaluate tan(0)
What is 0
200
Given the triangle solve for cos(theta), sin(theta), tan(theta)
What is cos(theta)=sin(theta)=square root of 2 over 2, tan(theta)=1
200
Given the triangle, solve for b. Round to the nearest tenth.
What is 35 feet
300
Find a positive angle that is less than 360 degrees or 2pi radians that is coterminal with 400 degrees
What is 40 degrees
300
A hamster wheel has a radius of 3 inches. The wheel is rotating at 30 revolutions per minute. Find the linear speed of the wheel in inches per minute. Use the estimation pi=3.14 to round your answer.
What is 565.2 inches/minute
300
Use the unit circle to evaluate tan(pi/2)
What is undefined
300
Given the triangle, solve for csc(theta), sec(theta), cot(theta)
What is csc(theta)=26/10, sec(theta)=26/24, csc(theta)=26/10, cot(theta)=24/10
300
Given the triangle, solve for theta. Round to the nearest degree.
What is 23 degrees.
400
Find a positive angle that is less than 360 degrees or 2pi radians that is coterminal with -500 degrees
What is 220 degrees
400
A horse on the merry-go-round is 20 feet from the center. The wheel is rotating at 4 revolutions per minute. Find the linear speed in feet per minute of the horse. Use the estimation that pi=3.14 to round your answer.
What is 502.4 feet per minute
400
Use the unit circle to evaluate csc(pi/6)
What is 2
400
Given that sin(theta)=3/5 and cos(theta)=4/5, solve for tan(theta), cot(theta), csc(theta) and sec(theta)
What is tan(theta)=3/4, cot(theta)=4/3, csc(theta)=5/3, sec(theta)=5/4
400
Given the triangle, solve for c. Round to the nearest tenth.
What is 437.4 feet
500
Find a positive angle that is less than 360 degrees or 2pi radians that is coterminal with -31pi/4
What is 7pi/4
500
The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle of 60 degrees, how many centimeters does it move (think arc length)? Use the estimation pi=3.14 to round your answer. Round to the nearest tenth.
What is 83.7 centimeters
500
Use the unit circle to evaluate sec(11pi/6). Rationalize answer.
What is 2 times square root of 3 over 3
500
Given that sin(theta)=9/41, solve for the third side of the triangle and evaluate cos(theta), tan(theta), cot(theta), csc(theta), sec(theta)
What is cos(theta)=40/41, tan(theta)=9/40, cot(theta)=40/9, csc(theta)=41/9, sec(theta)=41/40
500
A telephone pole is 55 feet tall. A wire that is 80 feet long is attached from the ground to the top of the pole. Find the angle between the wire and the pole to the nearest degree.