Question 1

Graph the function.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    D

Question 2

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle.
-119°

Accepted Answer

A)  479°; -61° 
B)  299°; -61° 
C)  479°; -241° 
D)  389°; -151° 
A)  479°; -61° 
B)  299°; -61° 
C)  479°; -241° 
D)  389°; -151° C

Question 3

Draw the angle having the radian measure.
-

Accepted Answer

A)    
B)    
A)    
B)    B

Question 4

Find the exact value of the following expression without using a calculator.
-cot (0°)

Accepted Answer

A)  1 
B)  Undefined 
C)  0 
D)  -1 
A)  1 
B)  Undefined 
C)  0 
D)  -1

Question 5

Solve the problem.
-Use the formula   to determine the value of s in the figure. Round to two decimal places.

Accepted Answer

A)  18.85 in. 
B)  9.42 in. 
C)  515.66 in. 
D)  0.12 in. 
A)  18.85 in. 
B)  9.42 in. 
C)  515.66 in. 
D)  0.12 in.

Question 6

Solve the problem.
-The motion of a spring-mass system is described by the equation   where y is the distance in feet from the equilibrium position and t is time in seconds. If the weight is 23 feet from the ceiling in a state of
Equilibrium, find the time at which the weight first passes the equilibrium position.

Accepted Answer

A)  1 sec 
B)  6 sec 
C)    
D)    
A)  1 sec 
B)  6 sec 
C)    
D)

Question 7

Find the phase shift of the function.
-y = -3 sin

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find the exact value of the composition.
-

Accepted Answer

A)  0 
B)    
C)    
D)  Undefined 
A)  0 
B)    
C)    
D)  Undefined

Question 9

Find the exact value of the composition.
-arccos

Accepted Answer

A)    
B)  0 
C)    
D)    
A)    
B)  0 
C)    
D)

Question 10

Find the phase shift of the function.
-y = cos

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Determine whether the angles in the given pair are coterminal.
-0°, 360.3°

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

Solve the problem.
-A contractor needs to know the height of a building to estimate the cost of a job. From a point 86 feet away from the base of the building, the angle of elevation to the top of the building is found to be 45° 57'. Find the height of
The building. Round your answer to the hundredths place.

Accepted Answer

A)  91.8 ft 
B)  87.37 ft 
C)  88.9 ft 
D)  93.13 ft 
A)  91.8 ft 
B)  87.37 ft 
C)  88.9 ft 
D)  93.13 ft

Question 13

Find the requested characteristic.
-Find the period for the graph of

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Determine whether the angles in the given pair are coterminal.
-127°, 1597°

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 15

Find the approximate value of the expression with a calculator. Round the answer to two decimal places when necessary.
-

Accepted Answer

A)  2.25 
B)  4.03 
C)  0.89 
D)  0.68 
A)  2.25 
B)  4.03 
C)  0.89 
D)  0.68

Question 16

Use a calculator to find the approximate value of the composition. Round answers to four decimal places. The expression
may be undefined.
-

Accepted Answer

A)  -2.2 
B)  Undefined 
C)  0 
D)  2.2 
A)  -2.2 
B)  Undefined 
C)  0 
D)  2.2

Question 17

Find the amplitude or period as requested.
-Find the amplitude of y = -4 sin

Accepted Answer

A)  4 
B)  3 
C)  -12 
D)    
A)  4 
B)  3 
C)  -12 
D)

Question 18

Find the exact value of the expression in degrees without using a calculator or table.
-  = arcsin

Accepted Answer

A)  -30° 
B)  30° 
C)  315° 
D)  300° 
A)  -30° 
B)  30° 
C)  315° 
D)  300°

Question 19

Solve the problem.
-A vertical antenna is mounted atop a 23-ft pole. From a point on the level ground 57 feet from the base of the pole, the antenna subtends an angle of 10.1°. Find the length of the antenna to the nearest tenth of a foot.

Accepted Answer

A)  32.4 ft 
B)  8.8 ft 
C)  -12.8 ft 
D)  12.7 ft 
A)  32.4 ft 
B)  8.8 ft 
C)  -12.8 ft 
D)  12.7 ft

Question 20

Solve the problem.
-Find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E, 24°N and city F, 54°S

Accepted Answer

A)  8713 km 
B)  8721 km 
C)  3343 km 
D)  3351 km 
A)  8713 km 
B)  8721 km 
C)  3343 km 
D)  3351 km

Graph the function. -

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. -119°

Draw the angle having the radian measure. -

Find the exact value of the following expression without using a calculator. -cot (0°)

Solve the problem. -Use the formula to determine the value of s in the figure. Round to two decimal places.

Find the phase shift of the function. -y = -3 sin

Find the exact value of the composition. -

Find the exact value of the composition. -arccos

Find the phase shift of the function. -y = cos

Determine whether the angles in the given pair are coterminal. -0°, 360.3°

Find the requested characteristic. -Find the period for the graph of

Determine whether the angles in the given pair are coterminal. -127°, 1597°

Find the approximate value of the expression with a calculator. Round the answer to two decimal places when necessary. -

Use a calculator to find the approximate value of the composition. Round answers to four decimal places. The expression may be undefined. -

Find the amplitude or period as requested. -Find the amplitude of y = -4 sin

Find the exact value of the expression in degrees without using a calculator or table. - = arcsin

Solve the problem. -A vertical antenna is mounted atop a 23-ft pole. From a point on the level ground 57 feet from the base of the pole, the antenna subtends an angle of 10.1°. Find the length of the antenna to the nearest tenth of a foot.

Solve the problem. -Find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E, 24°N and city F, 54°S

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Basic Algebra Review

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Exam 5: The Trigonometric Functions

Graph the function. -

Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. -119°

Draw the angle having the radian measure. -

Find the exact value of the following expression without using a calculator. -cot (0°)

Solve the problem. -Use the formula to determine the value of s in the figure. Round to two decimal places.

Find the phase shift of the function. -y = -3 sin

Find the exact value of the composition. -

Find the exact value of the composition. -arccos

Find the phase shift of the function. -y = cos

Determine whether the angles in the given pair are coterminal. -0°, 360.3°

Find the requested characteristic. -Find the period for the graph of

Determine whether the angles in the given pair are coterminal. -127°, 1597°

Find the approximate value of the expression with a calculator. Round the answer to two decimal places when necessary. -

Use a calculator to find the approximate value of the composition. Round answers to four decimal places. The expression may be undefined. -

Find the amplitude or period as requested. -Find the amplitude of y = -4 sin

Find the exact value of the expression in degrees without using a calculator or table. - = arcsin

Solve the problem. -A vertical antenna is mounted atop a 23-ft pole. From a point on the level ground 57 feet from the base of the pole, the antenna subtends an angle of 10.1°. Find the length of the antenna to the nearest tenth of a foot.

Solve the problem. -Find the distance in kilometers between the cities whose latitudes are given. Assume that the cities are on a north-south line and that the radius of the earth is 6400 km. City E, 24°N and city F, 54°S

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters