Deck 4: Trigonometry

Question 1

An engineer erects a foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground feet from its base. Round your answer to one
Decimal place.

Answer 1

A

Question 2

Find the point on the unit circle that corresponds to the real number t. (Round your answer to one decimal place.)

Answer 2

C

Question 3

Find the exact value of

Answer 3

D

Question 4

The current I (in amperes) when 100 volts is applied to a circuit is given by , where is the time (in seconds) after the voltage is applied. Approximate the current at second after the voltage is applied. Round your answer to two decimal places.

Question 5

If , determine the value of
B) Round to two decimal places.

A) 7.52
B) 2.74
C) 2.91
D) 8.51

Question 6

Describe the behavior of the function as approaches

Question 7

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 8

For the simple harmonic motion described by the trigonometric function, find the frequency.

Question 9

State the period of the function.

Question 10

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 11

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.

Question 12

Select the graph of the function. (Include two full periods.)

Question 13

Find an algebraic expression that is equivalent to the expression. .

Question 14

Determine whether the function is even, odd, or neither.

A) Odd
B) Neither
C) Even

Question 15

Find the angle between two nonvertical lines . The angle satisfies the equation Round your answer to one decimal place.

Question 16

Use a calculator to evaluate . Round your answer to four decimal places.

A) -1.2232
B) -0.9663
C) -2.2370
D) -2.9870
E) -0.4663

Question 17

Find the value of given trigonometric function. Round your answer to four decimal places.

Question 18

An object weighing pounds is suspended from the ceiling by a steel spring (see figure). The weight is pulled downward (positive direction) from its equilibrium position and re-
Leased. The resulting motion of the weight is described by the function

Question 19

Evaluate the trigonometric function using its period as an aid.

Question 20

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.

Question 21

An engineer erects a foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground feet from its base. Round your answer to one
Decimal place.

Question 22

Find an algebraic expression that is equivalent to the expression..

Question 23

Select the graph of the function. (Include two full periods.)

Question 24

Determine the period and amplitude of

Question 25

Find the point on the unit circle that corresponds to the real number t. (Round your answer to one decimal place.)

Question 26

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 27

Evaluate the trigonometric function using its period as an aid.

Question 28

Find the value of given trigonometric function. Round your answer to four decimal places.

Question 29

Find the angle between two nonvertical lines . The angle satisfies the equation

Question 30

Determine whether the function is even, odd, or neither.

A) Neither
B) Odd
C) Even

Question 31

An object weighing pounds is suspended from the ceiling by a steel spring (see figure). The weight is pulled downward (positive direction) from its equilibrium position and re-
Leased. The resulting motion of the weight is described by the function where is the distance (in feet) and is the time (in seconds).
Use a graphing utility to select the graph of the function.

Question 32

Use a calculator to evaluate . Round your answer to four decimal places.

A) 0.0736
B) -0.1059
C) -1.7150
D) 0.5736
E) -0.9650

Question 33

The current I (in amperes) when 100 volts is applied to a circuit is given by where is the time (in seconds) after the voltage is applied. Approximate the current at second after the voltage is applied. Round your answer to two decimal places.

Question 34

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 35

Find the exact value of

Question 36

State the period of the function.

Question 37

Write an equation for the function that is described by the given characteristics.

Question 38

Describe the behavior of the function as approaches

Question 39

Find the exact values of the three trignometric functions of the angle shown in the figure. (Use the Pythagorean Theorem to find the third side of the traingle.)

Question 40

Use a calculator to evaluate function given below. Round your answer to four decimal places. (Be sure the calculator is in the correct angle mode.)

Question 41

Find the supplement of the following angle.

Question 42

For the simple harmonic motion described by the trigonometric function, find the maximum displacement.

Question 43

Find the values of in degrees and radians without the aid of a calculator.

Question 44

Find the area of the sector of the circle with radius r and central angle . Round to two decimal places.

Question 45

Find the value of given trigonometric function. Round your answer to four decimal places.

Question 46

You are holding one of the tethers attached to the top of a giant character balloon in a parade. Before the start of the parade the balloon is upright and the bottom is floating approximately
20 feet above ground level. You are standing approximately feet ahead of the balloon (see
Figure). Round your answer to two decimal places. Find the height of the balloon if the angle of elevation to the top of the balloon is .

Question 47

Use the value of the trigonometric function to find the

Question 48

Find the point on the unit circle that corresponds to the real number t.

Question 49

For a person at rest, the velocity (in liters per second) of airflow during a respira- tory cycle (the time from the beginning of one breath to the beginning of the next) is given by Find the time for one full respiratory cycle.

Question 50

Use a graphing utility to select the graph of the function and the damping factor of the function in the same viewing window.

Question 51

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 52

Select the graph of the function. (Include two full periods.)

Question 53

Evaluate the expression. Round your result to two decimal places.

A) -3.50
B) 0.50
C) -0.50
D) -1.50
E) -2.50

Question 54

For the simple harmonic motion described by the trigonometric function, find the frequency.

Question 55

Determine the angle between the diagonal of a cube and its edge, as shown in the fig- ure, where . Round your answer to one decimal place.

A)
B)
C)
D)
E)

Question 56

State the period of the function.

Question 57

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)

Question 58

Find the exact values of the three trignometric functions of the angle of the two triangles shown below. Is the function values are the same? Explain.

Question 59

Describe the behavior of the function as approaches zero.

Question 60

A) 9.01
B) 11.12
C) 8.64
D) 4.41
E) 5.67 Ch 4

Question 61

The angle of elevation of the sun is . Find the length, l, of a shadow cast by a tree that is 53 feet tall. Round answer to two decimal places.