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Precalculus

Practice Test

PrecalculusPractice Test

Practice Test

1.

Convert 5π 6 5π 6 radians to degrees.

2.

Convert −620° −620° to radians.

3.

Find the length of a circular arc with a radius 12 centimeters subtended by the central angle of 30°. 30°.

4.

Find the area of the sector with radius of 8 feet and an angle of 5π 4 5π 4 radians.

5.

Find the angle between and 360° 360° that is coterminal with 375°. 375°.

6.

Find the angle between 0 and 2π 2π in radians that is coterminal with 4π 7 . 4π 7 .

7.

Draw the angle 315° 315° in standard position on the Cartesian plane.

8.

Draw the angle π 6 π 6 in standard position on the Cartesian plane.

9.

A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one revolution is 75 seconds. What is the linear speed in feet per second of a point on the Ferris wheel? What is the angular speed in radians per second?

10.

Find the exact value of sin π 6 . sin π 6 .

11.

Compute sine of 240°. 240°.

12.

State the domain of the sine and cosine functions.

13.

State the range of the sine and cosine functions.

14.

Find the exact value of cot π 4 . cot π 4 .

15.

Find the exact value of tan π 3 . tan π 3 .

16.

Use reference angles to evaluate csc 7π 4 . csc 7π 4 .

17.

Use reference angles to evaluate tan210°. tan210°.

18.

If csct=1.68, csct=1.68, what is the csc(t)? csc(t)?

19.

If cost= 3 2 , cost= 3 2 , find cos(t2π). cos(t2π).

20.

Which trigonometric functions are even?

21.

Find the missing angle: cos( π 6 )=sin( ___ ) cos( π 6 )=sin( ___ )

22.

Find the missing sides of the triangle ABC:sinB= 3 4 ,c=12 ABC:sinB= 3 4 ,c=12

23.

Find the missing sides of the triangle.

A right triangle with hyptenuse length of 9 and angle measure of 60 degrees.
24.

The angle of elevation to the top of a building in Chicago is found to be 9 degrees from the ground at a distance of 2000 feet from the base of the building. Using this information, find the height of the building.

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