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Exam 7: Additional Topics in Trigonometry

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Exam 1: Functions and Their Graphs150 Questionsadd course
Exam 2: Solving Equations and Inequalities150 Questionsadd course
Exam 3: Polynomial and Rational Functions150 Questionsadd course
Exam 4: Exponential and Logarithmic Functions150 Questionsadd course
Exam 5: Trigonometric Functions150 Questionsadd course
Exam 6: Analytic Trigonometry150 Questionsadd course
Exam 7: Additional Topics in Trigonometry150 Questionsadd course
Exam 8: Linear Systems and Matrices150 Questionsadd course
Exam 9: Sequences, Series, and Probability150 Questionsadd course
Exam 10: Topics in Analytic Geometry150 Questionsadd course
Exam 11: Prerequisites150 Questionsadd course
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In the figure below, In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. , In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. , and In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

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Question 1
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C

Find the trigonometric form of the complex number shown below. Find the trigonometric form of the complex number shown below.

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Question 2
Correct Answer:
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C

Find the component form of v if Find the component form of v if and the angle it makes with the x-axis is . and the angle it makes with the x-axis is Find the component form of v if and the angle it makes with the x-axis is . .

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Question 3
Correct Answer:
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E

Write the complex number shown below in trigonometric form. Write the complex number shown below in trigonometric form.

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Question 4

Given Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. , Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. , and Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

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Question 5

Given that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

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Question 6

Perform the operation shown below and leave the result in trigonometric form. Perform the operation shown below and leave the result in trigonometric form.

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Question 7

Determine the area of a triangle having the following measurements. Round your answer to two decimal places. Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

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Question 8

In the figure below, In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. , In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. , and In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

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Question 9

Given Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. , Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. , and Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

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Question 10

Use DeMoivre's Theorem to find the indicated power of the following complex number. Use DeMoivre's Theorem to find the indicated power of the following complex number.

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Question 11

Given Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. , Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. , and Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.

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Question 12

Find the cube roots of the following complex number. Write each of the roots in standard form. Find the cube roots of the following complex number. Write each of the roots in standard form.

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Question 13

Find the product Find the product using trigonometric forms. Leave the result in trigonometric form. using trigonometric forms. Leave the result in trigonometric form.

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Question 14

Find the standard form of the complex number shown below. Round answers to two decimal places. Find the standard form of the complex number shown below. Round answers to two decimal places.

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Question 15

Find the trigonometric form of the complex number represented graphically. Find the trigonometric form of the complex number represented graphically.

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Question 16

Find all solutions to the following equation. Find all solutions to the following equation.

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Question 17

Given Given and , determine . and Given and , determine . , determine Given and , determine . .

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Question 18

Given Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places. , Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places. , and Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places. , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.

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Question 19

Represent the complex number below graphically. Represent the complex number below graphically. Represent the complex number below graphically.

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Question 20
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