5.06 Trigonometric Functions Exam

QUESTION 1

  1. The cosecant function is the inverse of the tangent function.

QUESTION 2

  1. Using the following triangle, what is the secant of angle A? Right triangle with right angle labeled capital C and acute angles capital A and capital B. Sides are labeled with lower case letters a, b, and c and are each opposite the angle with the same letter.
    secant of A equals b divided by c
    secant of A equals a divided by c
    secant of A equals c divided by b
    secant of A equals c divided by a

QUESTION 3

  1. Find the cotangent of angle B. Right triangle with right angle labeled capital C and acute angles capital A and capital B. Hypotenuse has length 15, side AC has length 9, and side BC has length 12.
    four thirds
    five thirds
    four thirds
    three fifths

QUESTION 4

  1. Find the sine of angle B. Right triangle with right angle labeled capital C and acute angles capital A and capital B. Hypotenuse has length 13, side AC has length 5, and side BC has length 12
    five-thirteenths
    twelve-thirteenths
     thirteen-twelfths
    five-twelfths

QUESTION 5

  1. Find the sine of angle A. Right triangle with right angle labeled capital C and acute angles capital A and capital B. Hypotenuse has length 15, side AC has length 9, and side BC has length 12.
    four thirds
    five thirds
    four fifths
    three fifths

QUESTION 6

  1. Find the cosine of angle B. Right triangle with right angle labeled capital C and acute angles capital A and capital B. Hypotenuse has length 15, side AC has length 9, and side BC has length 12.
    four thirds
    five thirds
    four fifths
    three fifths

QUESTION 7

  1. In order to convert from radians to degrees multiply the radians by 180 degrees divided by pi radians .

QUESTION 8

  1. Convert 65° into radians.
    pi divided by 36 radians
    5 times pi divided by 36 radians
    13 times pi divided by 36 radians
    pi divided by 30 radians

QUESTION 9

  1. Convert 5° into radians.
    pi divided by 36 radians
    pi divided by 30 radians
    pi divided by 15 radians
    pi divided by 6 radians

QUESTION 10

  1. Convert 13 times pi divided by 2 radians into degrees.

QUESTION 11

  1. Convert 5 times pi divided by 6 radians into degrees.

QUESTION 12

  1. The angle of 30° is equal to pi divided by 6 radians.

QUESTION 13

  1. What is the exact value of cos pi divided by 2 as found on the unit circle?

QUESTION 14

  1. What is the exact value of cos pi divided by 3 as found on the unit circle?

QUESTION 15

  1. What is the exact value of sin 45° as found on the unit circle?

QUESTION 16

  1. Find the value of sin150°

QUESTION 17

  1. Find the value of sin210°

QUESTION 18

  1. Find the value of cos210°

QUESTION 19

  1. Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.

QUESTION 20

  1. Given tan B = fifteen-ninths find angle B in degrees. Round your answer to the nearest hundredth.

QUESTION 21

  1. Find angle B. right triangle with acute angles A and B, hypotenuse equal to 3 centimeters, angle A equal to 40 degrees

QUESTION 22

  1. Find angle B. right triangle with acute angles A and B, side AC equal to 29.3 miles, angle A equal to 28 degrees

QUESTION 23

  1. Find side AC. Round your answer to the nearest hundredth. right triangle with acute angles A and B, hypotenuse equal to 3 centimeters, angle A equal to 40 degrees

QUESTION 24

  1. I want to build a right triangular deck behind my house. The hypotenuse of the deck will be 50 feet long. The other two sides of the deck will be equal in length. What is the length of a side of the deck? Round your answer to the nearest hundredth.

QUESTION 25

  1. An engineer is surveying a building with a device that is 6 feet above the ground. He is 60 feet from the building and is looking with an angle of elevation of 45°. How tall is the building?

QUESTION 26

  1. What is the equation of the following graph? Graph of a periodic function which has a maximum value of 1 and a minimum value of negative 1. It starts at the point (0, 1).

QUESTION 27

  1. What is the equation of the following graph? Graph of a periodic function containing the point (0, 3), extending up to the right as it approaches an asymptote at pi divided by 2. Also extending from the point down to the left as it approaches as asymptote at negative pi divided by 2.

QUESTION 28

  1. What is the equation of the following graph? Graph of a periodic function which has a maximum value of 2 and a minimum value of negative 2. It starts at the point (0, 0).

QUESTION 29

  1. What is the range of y = 2sin(x) + 1?

QUESTION 30

  1. What is the domain of y = tan(x) + 2?

QUESTION 31

  1. Convert -245° into radians
    49 pi divided by 36 radians
    negative 2 pi divided by 15 radians
    negative 49 pi divided by 36 radians
    2 pi divided by 15 radians

QUESTION 32

  1. Convert 3.6 radians to degrees.

QUESTION 33

  1. What is the angle of 45 degrees equal to in radian measure?

QUESTION 34

  1. What is the exact value of cos150°?

QUESTION 35

  1. Given sin A = -.45 find angle A in degrees. Round your answer to the nearest hundredth.

QUESTION 36

  1. Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 25 degree angle from the shore. If the river is 375 feet across, how far downstream will you end up?

QUESTION 37

  1. What is the equation of the following graph?
    Graph of a periodic function which has a maximum value of 1 and a minimum value of negative 1. It starts at the point (0, 1)

QUESTION 38

  1. What is the equation of the following graph?
    Graph of a periodic function which has a maximum value of 3 and a minimum value of negative 1. It starts at the point (0, 3)

QUESTION 39

  1. What is the range of y = 2sin(x – 3)?