Determine angular displacement in radians. Round to the nearest tenth.
710 revolutions
4461.1 radians
100
Determine if function is periodic. If so state the period.
y=x²
no
100
Write an equation of the sine function with each amplitude and period.
amplitude=35.7, period=π/4
y= +/- 35.7 sine 8θ
100
Fin the vale by referring to the graphs of the trig functions.
sec (9π/2)
undefined
200
Evaluate sin 3π /4
√2/2
200
Determine each angular displacement in radians. Round to the nearest tenth.
60.7 revolutions
381.4 radians
200
Find each value by referring to the graph of the sine or the cosine function.
cos 8π
1
200
Write an equation of the sine function with each amplitude and period
amplitude= .34, period= .75π
y = +/- .34sin 8/3θ
200
Find the3 value by referring to the graphs of the trig functions.
sec 7π
-1
300
Given the measurement of a central angle, find the length of its intercepted arc in a circle of radius 14 centimeters. round to the nearest tenth.
5π/12
18.3 centimeters
300
Determine each angular velocity. Round to the nearest tenth.
1.8 revolutions in 9 seconds
1.3 radians/s
300
Find the values of θ for which the equation is true.
cos θ = 0
π/2 where π+2π is an integer
300
Write an equation of the cosine function with each amplitude and period.
amplitude = 5/8, period = π/7
y= +/- cos 14θ
300
Find the values of θ for which each equation is true.
tan θ = 0
πn where n is an integer
400
Given the measurement of a central angle, find the length of its intercepted arc in a circle of radius 14 centimeters. round to the nearest tenth.
282°
68.9 centimeters
400
Determine each angular velocity. Round to the nearest tenth.
100 revolutions in 16 minutes
39.3 radians/min
400
Find the value by referring to the graph of the sine or the cosine function
sin 7π/2
-1
400
Write an equation of the cosine function with each amplitude and period.
Amplitude = .5, Period = .3π
y = +/- .5cos 20/3 θ
400
Find the value of θ for which each equation is true.
csc θ = -1
3π/2 + 2πn, where n is an integer
500
Find the area of each sector given its central angle θ and the radius of the circle. round to the nearest tenth.
θ= 225°, r=6
70.7 units²
500
Determine the linear velocity of a point rotating at the given angular velocity at a distance r from the center of the rotating object. Round to the nearest tenth.
w= 27.4 radians per second, r= 4 feet
109.6 ft/s
500
A computer CD-ROM is rotating at 500 revolutions per minute. Write the angular velocity in radians per seconds.
About 52.4 radians per second
500
Write an equation for a ine function with amplitude 3.8 ad frequency 120 hertz.
y = +/- 3.8 sine (240π x t)
500
What are the values of θ for which sec θ is undefined?