Question 1

Perform the operation using trigonometric form. Write the answer in the form a + bi
-

Accepted Answer

A)    
B)    
C)    
D)  2 - 2i 
A)    
B)    
C)    
D)  2 - 2i

Question 2

Express the given vector as a linear combination of the unit vectors i and j.
-3, 12

Accepted Answer

A)  12i - 3j 
B)  12i + 3j 
C)  3i + 12j 
D)  3i - 12j 
A)  12i - 3j 
B)  12i + 3j 
C)  3i + 12j 
D)  3i - 12j

Question 3

Graph the complex number.
-

Accepted Answer

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

Question 4

For the given complex number, determine the complex conjugate in trigonometric form.
-8

Accepted Answer

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

Question 5

Determine the number of triangles with the given parts.
-

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 6

Graph the pair of parametric equations in the rectangular coordinate system.
-

Accepted Answer

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

Question 7

Determine the number of triangles with the given parts.
-a = 24, b = 20,   = 47°

Accepted Answer

A)  1 
B)  0 
C)  3 
D)  2 
A)  1 
B)  0 
C)  3 
D)  2

Question 8

The vectors u, v, and w are drawn below. Sketch the given vector.  
-w - v

Accepted Answer

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

Question 9

Solve.
-Two forces of 630 and 470 N (newtons) act on an object. The angle between the forces is 54°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Accepted Answer

A)  984 N, 23° 
B)  8 N, 23° 
C)  983 N, 23° 
D)  982 N, 23° 
A)  984 N, 23° 
B)  8 N, 23° 
C)  983 N, 23° 
D)  982 N, 23°

Question 10

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in [0,360°].
--4, -3

Accepted Answer

A)  7; 216.9° 
B)  5; 216.9° 
C)  5; 36.9° 
D)  5; 233.1° 
A)  7; 216.9° 
B)  5; 216.9° 
C)  5; 36.9° 
D)  5; 233.1°

Question 11

Graph the pair of parametric equations with the aid of a graphing calculator.
-

Accepted Answer

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

Question 12

Approximate the area of the triangle to the nearest tenth.
-

Accepted Answer

A)  2801 
B)  2780 
C)  1552 
D)  1551 
A)  2801 
B)  2780 
C)  1552 
D)  1551

Question 13

Perform the indicated operation. Write the answer in the form a + bi.
-

Accepted Answer

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

Question 14

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction
angle   Round to the nearest tenth.
-

Accepted Answer

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

Question 15

Solve the problem.
-Two people are carrying a box. One person exerts a force of 121 pounds at an angle of 43° with the horizontal. The other person exerts a force of 90 pounds at an angle of 51.6°. Find the weight of the box to the nearest
Pound.

Accepted Answer

A)  96 lb 
B)  234 lb 
C)  211 lb 
D)  156 lb 
A)  96 lb 
B)  234 lb 
C)  211 lb 
D)  156 lb

Question 16

Solve the triangle. If there is more than one triangle with the given parts, give both solutions.
-  = 16.6° b = 9.52
A = 18.9

Accepted Answer

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

Question 17

For the point given in rectangular coordinates, find equivalent polar coordinates  
-(0, -7)

Accepted Answer

A)  (7, 180°) 
B)  (7, 90°) 
C)  (7, 270°) 
D)  (-7, 0°) 
A)  (7, 180°) 
B)  (7, 90°) 
C)  (7, 270°) 
D)  (-7, 0°)

Question 18

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in [0,360°].
--5, 12

Accepted Answer

A)  15; 112.6° 
B)  13; 157.4° 
C)  13; 67.4° 
D)  13; 112.6° 
A)  15; 112.6° 
B)  13; 157.4° 
C)  13; 67.4° 
D)  13; 112.6°

Question 19

Determine the number of triangles with the given parts.
-a = 15, b = 25,   = 93°

Accepted Answer

A)  3 
B)  2 
C)  1 
D)  0 
A)  3 
B)  2 
C)  1 
D)  0

Question 20

Provide an appropriate response.
-Would you find it easier to graph the following equation using the Cartesian form or the polar form? Why?

Accepted Answer

The answer of Provide an appropriate response.
-Would you find it...

Perform the operation using trigonometric form. Write the answer in the form a + bi -

Express the given vector as a linear combination of the unit vectors i and j. -3, 12

Graph the complex number. -

For the given complex number, determine the complex conjugate in trigonometric form. -8

Determine the number of triangles with the given parts. -

Graph the pair of parametric equations in the rectangular coordinate system. -

Determine the number of triangles with the given parts. -a = 24, b = 20, = 47°

The vectors u, v, and w are drawn below. Sketch the given vector. -w - v

Solve. -Two forces of 630 and 470 N (newtons) act on an object. The angle between the forces is 54°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --4, -3

Graph the pair of parametric equations with the aid of a graphing calculator. -

Approximate the area of the triangle to the nearest tenth. -

Perform the indicated operation. Write the answer in the form a + bi. -

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. -

Solve the problem. -Two people are carrying a box. One person exerts a force of 121 pounds at an angle of 43° with the horizontal. The other person exerts a force of 90 pounds at an angle of 51.6°. Find the weight of the box to the nearest Pound.

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 16.6° b = 9.52 A = 18.9

For the point given in rectangular coordinates, find equivalent polar coordinates -(0, -7)

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --5, 12

Determine the number of triangles with the given parts. -a = 15, b = 25, = 93°

Provide an appropriate response. -Would you find it easier to graph the following equation using the Cartesian form or the polar form? Why?

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Exam 7: Applications of Trigonometry

Perform the operation using trigonometric form. Write the answer in the form a + bi -

Express the given vector as a linear combination of the unit vectors i and j. -3, 12

Graph the complex number. -

For the given complex number, determine the complex conjugate in trigonometric form. -8

Determine the number of triangles with the given parts. -

Graph the pair of parametric equations in the rectangular coordinate system. -

Determine the number of triangles with the given parts. -a = 24, b = 20, = 47°

The vectors u, v, and w are drawn below. Sketch the given vector. -w - v

Solve. -Two forces of 630 and 470 N (newtons) act on an object. The angle between the forces is 54°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --4, -3

Graph the pair of parametric equations with the aid of a graphing calculator. -

Approximate the area of the triangle to the nearest tenth. -

Perform the indicated operation. Write the answer in the form a + bi. -

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. -

Solve the problem. -Two people are carrying a box. One person exerts a force of 121 pounds at an angle of 43° with the horizontal. The other person exerts a force of 90 pounds at an angle of 51.6°. Find the weight of the box to the nearest Pound.

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 16.6° b = 9.52 A = 18.9

For the point given in rectangular coordinates, find equivalent polar coordinates -(0, -7)

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°]. --5, 12

Determine the number of triangles with the given parts. -a = 15, b = 25, = 93°

Provide an appropriate response. -Would you find it easier to graph the following equation using the Cartesian form or the polar form? Why?

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters