Find the arc length intercepted by a central angle of 30 degrees in a circle of radius 5 inches. Round your answer to the nearest tenth of an inch.
What is 2.6.
100
Find the period of the function y=3sin(-5x)+7.
What is 2pi/5.
100
Construct a sinusoid (write an equation) that has an amplitude of 5 and a period of 2pi that passes through the point (3,0).
What is y=5sin(x-3). (Other correct answers are possible.)
200
Find csc(pi/4), rationalizing as necessary.
What is sqrt(2)
200
Find cos(pi)
What is -1
200
From a point 20 feet away from the base of a tree, the angle of elevation is 74 degrees. How tall is the tree? Round your answer to the nearest tenth.
What is 69.7 feet.
200
Find the amplitude of the sinusoid pictured. (see graph in separate document)
What is 3.
200
Construct a sinusoid (write an equation) that has an amplitude of 4, a period of 2, and passes through the point (-5,0)
What is y=4sin(pi(x+5)). (Other correct answers are possible.)
300
Find sec(pi/6), rationalizing as necessary.
What is 2sqrt(3)/3
300
Find cot(15pi/4), rationalizing as necessary.
What is -1.
300
A truck with 13-inch radius wheels moves at an angular speed of 600 rev/min. What is its linear speed, in inches per minute? Round your answer to the nearest whole number.
What is 49,009 in/min.
300
Find the period of the graph pictured. (See separate Word document for graph)
What is 4.
300
Construct a sinusoid (write an equation) that rises from a minimum value of y=2 at x=0 to a maximum value of y=8 at x=10.
What is y=-3cos[(pi/10)x]+5. (Other correct answers are possible.)