Online Practice Test 3a for MATH 150.

This practice test covers material in Chapters 5 to 7.5 of the book: Precalculus, Mathematics for Calculus, 4th Edition.

This online test was created by Brent M. Dingle. You will notice if you select the wrong answer you are notified immediately (and perhaps given a hint). Assuming everything is working (i.e. your browser supports JavaScript and has it enabled) you should have been notified of a time limit to complete this test and you should see the words: "JavaScript Enabled" immediately below.

Test Questions:

1. What is the reference number for t = 4p / 3

    1/3
    p/3
    -p
    2p/3
    -1/3

2. csc(t) is equivalent to what?

    sin(t)
    cos(t)
    1/sin(t)
    1/cos(t)
    1/tan(t)

3. If sin2(t) = 0.75 then sec2(t) has what value?

    0.25
    0.5
    2
    4
    Not enough information is given.

4. What is the phase shift of: y = sin( 2x - p/2 ) ?

    p/2
    -p/2
    p/4
    -p/4
    2

5. Bob's blood pressure is modeled by the function:
        p(t) = 115 + 25*sin(160p*t)
        where p(t) is measured in mm of Mercury, at time = t which is measured in minutes.
How many times does Bob's heart beat per minute?

    60
    70
    80
    115
    125

6. What is the period of tan(4x - p/2)

    p/2
    -p/2
    p/4
    -p/4
    2

7. Find an angle with measure between 0 and 2p that is coterminal with the angle of measure 1290 degrees in standard position.

    p/6
    p/3
    3p/4
    4p/3
    7p/6

8. Find the length of an arc of a circle with radius 6 meters that subtends a central angle of 30 degrees.

    p meters
    2p meters
    p/3 meters
    p/6 meters
    180 centimeters

9. A wheel with diameter 3 feet completes 15 revolutions every 10 seconds. What is the linear speed of the wheel?

    90p ft/sec
    9p ft/sec
    4.5p ft/sec
    3p ft/sec
    1.5p ft/sec

10. A building casts a shadow which is 260 feet long. The angle of elevation of the sun is 25.7 degrees. What is the height of the building (to the nearest foot)?

    339 feet
    256 feet
    203 feet
    175 feet
    125 feet

11. Two sides of a triangle form an angle of 53.13 degrees. The lengths of the sides are 50 feet and 30 feet. To the nearest square foot, what is the area of the triangle?

    600 sq. ft
    450 sq. ft
    325 sq. ft
    297 sq. ft
    205 sq. ft

12. Bob is surveying a river. He picks two points A and B which are 200 feet apart on one side of the river. He picks point C on the other side of the river as a reference point. Without crossing the river Bob estimates that the angle BAC is 90 degrees and the angle ABC is 52 degrees. Estimate the distance to the nearest foot from point A to point C.

    339 feet
    256 feet
    203 feet
    175 feet
    125 feet

13. Two ships leave a port at the same time. One has a course of N 32 degrees E and travels at 20 miles per hour. The other sets a course of S 42 degrees E, travelling at 28 miles per hour. Two hours after departure, how far apart are the ships (to the nearest tenth of a mile)?

    64.8
    73.7
    77.3
    81.5
    85.1

14. If sin(t) = 5/13 and tan(t) = -5/12, find sec(t).

    -12/13
    13/12
    -13/5
    12/13
    -13/12

15. Is the following equality true? cos(u) / [1 - sin(u)] = csc(u) + cot(u)

    yes
    no

16. If cos(x) = -2/3 and x is in quadrant II, then what is sin(2x)?

    1/9
    -1/9
    sqrt(5)/3
    4*sqrt(5)/9
    -4*sqrt(5)/9

17. Solve 1 + sin(x) = 2*cos2(x) for x in the interval [0, p/2]

    p/3
    p/4
    p/6
    p/8
    3*p/2

18. Solve tan2(x) - tan(x) - 2 = 0, for x in the interval [-p/2, 0].

    0.3524*p
    -p/6
    -p/4
    -p/3
    -p/2