Determine whether the statement makes sense or does not make sense, and explain your reasoning. There are similarities and differences between solving 2x + 7= 3 and 2 sin 0+ 7 = 3. In the first equation, one needs to isolate x to get the solution. In the trigonometric equation, one needs to first isolate sin 0, but then one must continue to solve for 0. Choose the correct answer below. O A. Does not make sense because to solve 2x +7= 3, one needs to transform the left to be similar to the right side and to solve 2 sin 0+7 = 3, one needs to isolate 0 by dividing both sides by sin. O B. Makes sense because 2x + 7= 3 is a linear equation in one variable which has many solutions and 2 sin 0+7=3 is a trigonometric equation which has only one solution. O C. Does not make sense because to solve 2x +7 = 3, one needs to isolate the x term to get the solution and to solve 2 sin 0 +7=3, one needs to isolate 0 by dividing both sides by sin. O D. Makes sense because 2x +7 =3 is a linear equation in one variable which has only one solution and 2 sin 0 + 7=3 is a trigonometric equation which involves a periodic function and has many solutions.

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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Determine whether the statement makes sense or does not make sense, and explain your reasoning.
There are similarities and differences between solving 2x + 7=3 and 2 sin 0 +7= 3. In the first equation, one needs to isolate x to get the solution. In the trigonometric equation, one needs
to first isolate sin 0, but then one must continue to solve for 0.
Choose the correct answer below.
O A. Does not make sense because to solve 2x +7= 3, one needs to transform the left to be similar to the right side and to solve 2 sin 0 +7= 3, one needs to isolate 0 by dividing both
sides by sin,
O B. Makes sense because 2x + 7= 3 is a linear equation in one variable which has many solutions and 2 sin 0+7= 3 is a trigonometric equation which has only one solution.
O C. Does not make sense because to solve 2x + 7 = 3, one needs to isolate the x term to get the solution and to solve 2 sin 0+7= 3, one needs to isolate 0 by dividing both sides by
sin.
O D. Makes sense because 2x + 7=3 is a linear equation in one variable which has only one solution and 2 sin e+7=3 is a trigonometric equation which involves a periodic function
and has many solutions.
Transcribed Image Text:Determine whether the statement makes sense or does not make sense, and explain your reasoning. There are similarities and differences between solving 2x + 7=3 and 2 sin 0 +7= 3. In the first equation, one needs to isolate x to get the solution. In the trigonometric equation, one needs to first isolate sin 0, but then one must continue to solve for 0. Choose the correct answer below. O A. Does not make sense because to solve 2x +7= 3, one needs to transform the left to be similar to the right side and to solve 2 sin 0 +7= 3, one needs to isolate 0 by dividing both sides by sin, O B. Makes sense because 2x + 7= 3 is a linear equation in one variable which has many solutions and 2 sin 0+7= 3 is a trigonometric equation which has only one solution. O C. Does not make sense because to solve 2x + 7 = 3, one needs to isolate the x term to get the solution and to solve 2 sin 0+7= 3, one needs to isolate 0 by dividing both sides by sin. O D. Makes sense because 2x + 7=3 is a linear equation in one variable which has only one solution and 2 sin e+7=3 is a trigonometric equation which involves a periodic function and has many solutions.
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