Question 1

Solve the equation. Write the answer in a + bi form.
-  - 8 = 0

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Provide an appropriate response.
-Explain, in your own words, the situation called "the ambiguous case of the law of sines."

Accepted Answer

The answer of Provide an appropriate response.
-Explain, in your own...

Question 4

Graph the polar equation.
-

Accepted Answer

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

Question 5

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°].
-

Accepted Answer

A)  4; 135° 
B)  4; 315° 
C)  8; 315° 
D)    
A)  4; 135° 
B)  4; 315° 
C)  8; 315° 
D)

Question 6

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the
polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary.
-

Accepted Answer

A)  (1.57, 4) 
B)  (4, 3.14) 
C)  (4, 1.57) 
D)  (4, 1.57), (4, 4.712) 
A)  (1.57, 4) 
B)  (4, 3.14) 
C)  (4, 1.57) 
D)  (4, 1.57), (4, 4.712)

Question 7

Solve.
-A triangular-shaped field has sides of 197.5 m and 193.4 m, and the angle between them measures 61.63°. Find the area of the field to the nearest square meter.

Accepted Answer

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

Question 8

Find all specified roots.
-Cube roots of 8

Accepted Answer

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

Question 9

Graph the point.
-(2, 0°)

Accepted Answer

A)    
B)    
A)    
B)

Question 10

Solve the triangle. Approximate values to the nearest tenth when appropriate.
-a = 6.2 b = 13.3
C = 15.9

Accepted Answer

A)    
B)  No solution 
C)    
D)    
A)    
B)  No solution 
C)    
D)

Question 11

Solve.
-A homeowner wants to fence in a triangular garden. One side of the garden is edged by a brick wall and 20 feet of fencing is purchased to fence in the other two sides. The angle that one edge of the garden makes with the
Wall is 20° and 12 feet of fencing is needed for this edge. Is there enough fencing left to edge the second side?

Accepted Answer

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

Question 12

Solve the equation. Write the answer in a + bi form.
-

Accepted Answer

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

Question 13

Graph the polar equation.
-

Accepted Answer

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

Question 14

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.
-

Accepted Answer

A)  -4i 
B)  4i 
C)  -4 
D)  4 
A)  -4i 
B)  4i 
C)  -4 
D)  4

Question 15

Find the absolute value of the complex number.
-4 - i

Accepted Answer

A)    
B)  5 
C)    
D)  17 
A)    
B)  5 
C)    
D)  17

Question 16

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.
-

Accepted Answer

A)    
B)    
C)  81i 
D)    
A)    
B)    
C)  81i 
D)

Question 17

Eliminate the parameter of the pair of parametric equations.
-

Accepted Answer

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

Question 18

Solve.
-Two forces of 40 and 120 N (newtons) act on an object. The angle between the forces is 22°. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Accepted Answer

A)  158 N, 17° 
B)  159 N, 17° 
C)  157 N, 22° 
D)  13 N, 17° 
A)  158 N, 17° 
B)  159 N, 17° 
C)  157 N, 22° 
D)  13 N, 17°

Question 19

Find the angle between the given vectors to the nearest tenth of a degree.
-,

Accepted Answer

A)  183.7° 
B)  76.9° 
C)  173.7° 
D)  86.9° 
A)  183.7° 
B)  76.9° 
C)  173.7° 
D)  86.9°

Question 20

Eliminate the parameter of the pair of parametric equations.
-x = sin t, y = 3 cos t

Accepted Answer

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

Solve the equation. Write the answer in a + bi form. - - 8 = 0

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

Provide an appropriate response. -Explain, in your own words, the situation called "the ambiguous case of the law of sines."

Graph the polar equation. -

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°]. -

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary. -

Solve. -A triangular-shaped field has sides of 197.5 m and 193.4 m, and the angle between them measures 61.63°. Find the area of the field to the nearest square meter.

Find all specified roots. -Cube roots of 8

Graph the point. -(2, 0°)

Solve the triangle. Approximate values to the nearest tenth when appropriate. -a = 6.2 b = 13.3 C = 15.9

Solve the equation. Write the answer in a + bi form. -

Graph the polar equation. -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Find the absolute value of the complex number. -4 - i

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Eliminate the parameter of the pair of parametric equations. -

Solve. -Two forces of 40 and 120 N (newtons) act on an object. The angle between the forces is 22°. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Find the angle between the given vectors to the nearest tenth of a degree. -<5, 4>, <-5, -5>

Eliminate the parameter of the pair of parametric equations. -x = sin t, y = 3 cos t

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Exam 7: Applications of Trigonometry

Solve the equation. Write the answer in a + bi form. - - 8 = 0

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

Provide an appropriate response. -Explain, in your own words, the situation called "the ambiguous case of the law of sines."

Graph the polar equation. -

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°]. -

Graph the pair of polar equations on a calculator, together on the same screen, and use the trace feature to estimate the polar coordinates of all points of intersection of the curves. Round to the nearest hundredth, if necessary. -

Solve. -A triangular-shaped field has sides of 197.5 m and 193.4 m, and the angle between them measures 61.63°. Find the area of the field to the nearest square meter.

Find all specified roots. -Cube roots of 8

Graph the point. -(2, 0°)

Solve the triangle. Approximate values to the nearest tenth when appropriate. -a = 6.2 b = 13.3 C = 15.9

Solve the equation. Write the answer in a + bi form. -

Graph the polar equation. -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Find the absolute value of the complex number. -4 - i

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Eliminate the parameter of the pair of parametric equations. -

Solve. -Two forces of 40 and 120 N (newtons) act on an object. The angle between the forces is 22°. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Find the angle between the given vectors to the nearest tenth of a degree. -<5, 4>, <-5, -5>

Eliminate the parameter of the pair of parametric equations. -x = sin t, y = 3 cos t

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