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Consider the diagram below, and assume that mZB = 61°, AB = 4.3 cm, and AC = 3.84 cm. 3.84 cm 6 A 4.3 cm B a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two possible values - list both of them (separated by a comma). m2C = Preview b. If we assume the diagram is to scale, which value of m¿C makes more sense? Enter the appropriate value.

Consider the diagram below, and assume that mZB = 61°, AB = 4.3 cm, and AC = 3.84 cm. 3.84 cm 6 A 4.3 cm B a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two possible values - list both of them (separated by a comma). m2C = Preview b. If we assume the diagram is to scale, which value of m¿C makes more sense? Enter the appropriate value.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two possible measurements. Statement of the Law of Sines. Helpful Hint: Draw a unit circle and think about the range of arcsin. Also, recall that the trigonometric functions in iMathAS use radians as the default, so you may need to change units. Consider the diagram below, and assume that mZB = 61°, AB = 4.3 cm, and AC = 3.84 cm. || C 3.84 cm 61 В А 4.3 cm a. Using the Law of Sines, determine the value of m2C. You should notice that there are actually two possible values - list both of them (separated by a comma). m2C = Preview b. If we assume the diagram is to scale, which value of m/C makes more sense? Enter the appropriate value. m2C = Preview c. Using your answer to part (b), determine the length of BC. BC = cm Preview
Transcribed Image Text:In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two possible measurements. Statement of the Law of Sines. Helpful Hint: Draw a unit circle and think about the range of arcsin. Also, recall that the trigonometric functions in iMathAS use radians as the default, so you may need to change units. Consider the diagram below, and assume that mZB = 61°, AB = 4.3 cm, and AC = 3.84 cm. || C 3.84 cm 61 В А 4.3 cm a. Using the Law of Sines, determine the value of m2C. You should notice that there are actually two possible values - list both of them (separated by a comma). m2C = Preview b. If we assume the diagram is to scale, which value of m/C makes more sense? Enter the appropriate value. m2C = Preview c. Using your answer to part (b), determine the length of BC. BC = cm Preview
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