Question 1

Graph the polar equation.
-

Accepted Answer

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

Question 2

Perform the operation using trigonometric form. Write the answer in the form a + bi
-(1 + i)(2 - 2i)

Accepted Answer

A)  4 + 4i 
B)  4 + i 
C)  4 
D)  4i 
A)  4 + 4i 
B)  4 + i 
C)  4 
D)  4i

Question 3

For the point given in rectangular coordinates, find equivalent polar coordinates  
-

Accepted Answer

A)  (8, 60°) 
B)  (8, 30°) 
C)  (16, 30°) 
D)  (4, 45°) 
A)  (8, 60°) 
B)  (8, 30°) 
C)  (16, 30°) 
D)  (4, 45°)

Question 4

Perform the indicated operation. Write the answer in the form a + bi.
-3(cos 120° + i sin 120°) · 2(cos 90° + i sin 90°)

Accepted Answer

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

Question 5

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

Accepted Answer

A)  747.9 
B)  752.1 
C)  767.2 
D)  761.4 
A)  747.9 
B)  752.1 
C)  767.2 
D)  761.4

Question 6

Solve the triangle. Approximate values to the nearest tenth when appropriate.
-  = 120.75° b = 4.70
A = 12.20

Accepted Answer

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

Question 7

Solve.
-To find the distance AB across a river, a distance BC of 756 m is laid off on one side of the river. It is found that B = 109.4° and C = 13.9°. Find AB rounded to the nearest meter.

Accepted Answer

A)  220 m 
B)  179 m 
C)  182 m 
D)  217 m 
A)  220 m 
B)  179 m 
C)  182 m 
D)  217 m

Question 8

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth.
-

Accepted Answer

A)  (0.50, -2.86) 
B)  (2.86, -0.50) 
C)  (-2.86, 0.50) 
D)  (-0.50, 2.86) 
A)  (0.50, -2.86) 
B)  (2.86, -0.50) 
C)  (-2.86, 0.50) 
D)  (-0.50, 2.86)

Question 9

Perform the indicated operation. Write the answer in the form a + bi.
-4(cos 315° + i sin 315°) · 6(cos 225° + i sin 225°)

Accepted Answer

A)  -24i 
B)  24i 
C)  -24 
D)  24 
A)  -24i 
B)  24i 
C)  -24 
D)  24

Question 10

For the given polar equation, write an equivalent rectangular equation.
-

Accepted Answer

A)  y = 7 
B)    
C)  x = 7 
D)    
A)  y = 7 
B)    
C)  x = 7 
D)

Question 11

Find the absolute value of the complex number.
--5

Accepted Answer

A)  5 
B)  -25 
C)  -5 
D)  25 
A)  5 
B)  -25 
C)  -5 
D)  25

Question 12

Graph the polar equation.
-

Accepted Answer

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

Question 13

Perform the operation using trigonometric form. Write the answer in the form a + bi
-(3 - 8i)(3 + 2i)

Accepted Answer

A)  25 + 18i 
B)  -7 - 30i 
C)    
D)  25 - 18i 
A)  25 + 18i 
B)  -7 - 30i 
C)    
D)  25 - 18i

Question 14

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

Accepted Answer

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

Question 15

For the given rectangular equation, write an equivalent polar equation.
-x = 8

Accepted Answer

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

Question 16

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

Accepted Answer

A)    
B)  1 + i 
C)    
D)    
A)    
B)  1 + i 
C)    
D)

Question 17

Solve the triangle with the given parts.
-

Accepted Answer

A)    = 21.7°, a = 16.9, c = 40.3 
B)    = 19.7°, a = 38.3, c = 14.9 
C)    = 21.7°, a = 14.9, c = 38.3 
D)    = 19.7°, a = 40.3, c = 16.9 
A)    = 21.7°, a = 16.9, c = 40.3 
B)    = 19.7°, a = 38.3, c = 14.9 
C)    = 21.7°, a = 14.9, c = 38.3 
D)    = 19.7°, a = 40.3, c = 16.9

Question 18

Solve the triangle with the given parts.
-

Accepted Answer

A)    = 26.4°, a = 26.28, c = 54.24 
B)    = 26.4°, a = 28.28, c = 56.24 
C)    = 24.4°, a = 56.24, c = 28.28 
D)    = 24.4°, a = 54.24, c = 26.28 
A)    = 26.4°, a = 26.28, c = 54.24 
B)    = 26.4°, a = 28.28, c = 56.24 
C)    = 24.4°, a = 56.24, c = 28.28 
D)    = 24.4°, a = 54.24, c = 26.28

Question 19

For the given rectangular equation, write an equivalent polar equation.
-

Accepted Answer

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

Question 20

Solve the triangle with the given parts.
-

Accepted Answer

A)    = 37.2°, b = 30.9, c = 25.2 
B)    = 37.2°, b = 371.1, c = 300.1 
C)    = 37.2°, b = 300.1, c = 371.1 
D)    = 36.8°, b = 297.3, c = 371.1 
A)    = 37.2°, b = 30.9, c = 25.2 
B)    = 37.2°, b = 371.1, c = 300.1 
C)    = 37.2°, b = 300.1, c = 371.1 
D)    = 36.8°, b = 297.3, c = 371.1

Graph the polar equation. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(1 + i)(2 - 2i)

For the point given in rectangular coordinates, find equivalent polar coordinates -

Perform the indicated operation. Write the answer in the form a + bi. -3(cos 120° + i sin 120°) · 2(cos 90° + i sin 90°)

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

Solve the triangle. Approximate values to the nearest tenth when appropriate. - = 120.75° b = 4.70 A = 12.20

Solve. -To find the distance AB across a river, a distance BC of 756 m is laid off on one side of the river. It is found that B = 109.4° and C = 13.9°. Find AB rounded to the nearest meter.

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -

Perform the indicated operation. Write the answer in the form a + bi. -4(cos 315° + i sin 315°) · 6(cos 225° + i sin 225°)

For the given polar equation, write an equivalent rectangular equation. -

Find the absolute value of the complex number. --5

Graph the polar equation. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(3 - 8i)(3 + 2i)

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

For the given rectangular equation, write an equivalent polar equation. -x = 8

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

Solve the triangle with the given parts. -

Solve the triangle with the given parts. -

For the given rectangular equation, write an equivalent polar equation. -

Solve the triangle with the given parts. -

Equations, Inequalities, and Modeling

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Exam 7: Applications of Trigonometry

Graph the polar equation. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(1 + i)(2 - 2i)

For the point given in rectangular coordinates, find equivalent polar coordinates -

Perform the indicated operation. Write the answer in the form a + bi. -3(cos 120° + i sin 120°) · 2(cos 90° + i sin 90°)

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

Solve the triangle. Approximate values to the nearest tenth when appropriate. - = 120.75° b = 4.70 A = 12.20

Solve. -To find the distance AB across a river, a distance BC of 756 m is laid off on one side of the river. It is found that B = 109.4° and C = 13.9°. Find AB rounded to the nearest meter.

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -

Perform the indicated operation. Write the answer in the form a + bi. -4(cos 315° + i sin 315°) · 6(cos 225° + i sin 225°)

For the given polar equation, write an equivalent rectangular equation. -

Find the absolute value of the complex number. --5

Graph the polar equation. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(3 - 8i)(3 + 2i)

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

For the given rectangular equation, write an equivalent polar equation. -x = 8

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

Solve the triangle with the given parts. -

Solve the triangle with the given parts. -

For the given rectangular equation, write an equivalent polar equation. -

Solve the triangle with the given parts. -

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