Multiple Choice Practice Trigonometric Functions Algebra 2 Trigonometry Level Algebra 2Trig Index | Regents Exam Prep Center

 Also available in Hardcopy (.pdf): Trigonometric Functions

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use a calculator when working on these problems.

1.   Expressed in radian measure, 235º is
[1]                 [2]                  [3]                  [4]

2.  What is the value of  sin(-240º) ?

[1]                     [2]                    [3]                    [4]

3.  The value of     is

[1]                       [2]                    [3]                    [4]

4.  If the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate?

[1]  I                        [2]  II                    [3]  III                    [4]  IV

5.  In the unit circle shown at the right, what are the coordinates of B?

[1]             [3]

[2]
[4]

 6.  What is the value of    ?        [1]                      [2]                   [3]                [4]

7.  What is the value of

[1]   1                            [2]                         [3]             [4]

8.   Which expression is not equivalent to sin 150º ?

[1]  sin 30º                  [2]  - sin 210º             [3]  cos 60º         [4]  - cos 60º

9.  A flower bed is planted in the shape of an arc along the edge of a circular walkway.  If the circle has a radius of 5 yards and the angle subtended by the arc measures 1.5 radians, what is the length, in yards, of the border?

[1]  0.5                         [2]   2                   [3]  5                     [4]  7.5

10.  If  sin (x + 20º) = cos x , the value of  x  is

[1]  35º                       [2]  45º                 [3]  55º                [4]  70º

11.  The expression    is equivalent to

[1]                    [2]             [3]                 [4]

12.  The expression  (1 + cos x)(1 - cos x) is equivalent to

[1]  1                          [2]              [3]               [4]

13.  The expression  cos 80º cos 70º  +  sin 80º sin 70º   is equivalent to

[1]
cos 10º                    [2]  cos 150º             [3]  sin 10º                [4]  sin 150º

14.   If       and   ,  then  sin (a - b)  equals

[1]                         [2]                         [3]               [4]

15.  The expression  sin2A - 2sinA  is equivalent to

[1]  (sinA)(sinA - 2)     [2] (2sinA)(sinA - 1)    [3] (sinA)(2cosA - 1)    [4]  (2sinA)(cosA - 1)

16.  What value of x in the interval  0º < x < 180º satisfies the equation  ?

[1]  -30º                       [2]  30º                      [3]  60º                 [4]  150º

17.  What is the amplitude of the graph of the equation  ?

[1]  1/2                         [2]                         [3]  π                      [4]  2π

 18.   A sound wave is modeled by the curve  y = 3sin4x.  What is the period of this curve?      [1]   π                            [2]   π/2                     [3]  3                     [4]  4

19.  The graph of the function   y = 3sin(2x +  π)   will display a horizontal shift of

[1]  π  units to the right
[2]
π  units to the left
[3]   π/2 units to the right
[4]
π/2 units to the left

20.  A radio transmitter sends a radio wave from the top of a 50-foot tower.  The wave is represented by the graph shown at the right.  What is the equation of this radio wave?
[1]
y = sin x
[2]
y = 1.5 sin x

[3]  y = sin 1.5x
[4]  y = 2sinx

21.  Which graph represents the function  f (x) = -sinx  in the interval  -π < x < π ?

[1]                                                [3]

[2]                                                 [4]

22.  Which value of x is not in the domain of the function defined by  y = tanx ?
[1]
π                         [2]   π / 2                       [3]  π / 3                     [4]  2π / 3

23.  In ∆ABC, m<A = 120, b = 10", and c = 18".  What is the area of ∆ABC to the nearest square inch?
[1]
52                        [2]  78                           [3]  90                       [4]  156

24.  In ∆ABC, m<A = 45, m<B = 30, and a = 10.  What is the length of side b?
[1]                        [2]
[3]                  [4]

25.  You must cut a triangle out of a sheet of paper.  The only requirements you must follow are that one of the angles must be 60º, the side opposite the 60º angle must be 40 centimeters, and one of the other sides must be 15 centimeters.  How many different triangle can you make?
[1]
1                           [2]  2                             [3]  3                       [4]  0

26.   In ∆ABC,  sinA = 0.5, m<B = 45, and b = 20.  What is the length of side a?
[1]                      [2]
10                           [3]                 [4]

27.  In triangle ABC, a = 2, b = 4 and c = .  Find the largest angle of the triangle.
[1]
60º                         [2] 120º                        [3]  150º                   [4]  30º

28.  Al is standing 50 yards from a maple tree and 30 yards from an oak tree in the park.  His position is shown in the diagram at the right.  If he is looking at the maple tree, he needs to turn his head 120º to look at the oak tree.  How many yards apart are the two trees?
[1]  58.3        [2]
65.2         [3]  70         [4]  75

29.  Find the exact value of  sec 60º + cot 45º + csc 30º .
[1]
1                           [2]  2                       [3]                        [4]  5

30.  Assuming an angle lies in Quadrant I, evaluate     as a fraction in lowest terms.
[1]
5/12                       [2]  5/13                  [3]  12/5                  [4]  13/5