Trigonometric functions Unit Test Review

A disc spins at a rate of 6.4 revolutions per minute. To the nearest tenth, what is the linear velocity, in meters per minute, of a point on the disc that is 3 cm from the center of the disc?

1.2

A particle moves along a circular path with radius 3 centimeters. The particle has an angular velocity of 3/4 radians per second. What is the length of the arc, in centimeters, generated after 5 seconds? Round your answer to the nearest tenth.

35.3

The time it takes a spinner to stop completely is 12 seconds. If the spinner completes 6 revolutions in this time, what was the average angular velocity of the spinner, in radians per second, for the 12-second interval?

A. Pi

An angle in standard position measures pi/2 radians and p(0,1) is on the terminal side of the angle. What is the value of the cosine of this angle?

B. 0

Use the unit circle to find the value of tan(-180)

B. Tan(-180°)=0

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on its terminal side.

C

What are the exact values of the six trigonometric functions for -7pi/6 radians?

C

On a unit circle, the verticale distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin theta?

C. 2sqrt5/5

If a vertical line is dropped from the x-axis to the point (12,-9) in the diagram below what is the value of sec theta?

C. 5/4

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12,5) lies on its terminal side.

D

Which values for theta have the same reference angles?

D

Which of the following represents the measures of all angles coterminal with a -220° angle?

D. 140+360n, for any internet n

In a right triangle, cos A=0.352 and sin A=0.936. What is the approximate value of tan A?

D. 2.659

In the triangle below, angle B measures 60° And BC is 18. What is the length of AC?

D. 9sqrt3

Find the exact values of the six trigonometric functions for angle in standard position if a point with the coordinates (-6, 6) lies on its terminal side.

Look up six trigonometric functions and just copy and paste what you find 😉