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5.7.2: Practice Test

  • Page ID
    116124
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    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.


    5.7.2: Practice Test is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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