How Do I Solve Sin A(4.625A + 171.87) = 229.16?

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Homework Help Overview

The problem involves solving the equation Sin A(4.625A + 171.87) = 229.16, which incorporates trigonometric functions and algebraic expressions. The context suggests a focus on the variable A and its relationship to the sine function.

Discussion Character

  • Exploratory, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the challenges of solving the equation algebraically without additional information about A. Some suggest numerical or graphical methods as potential approaches, while others express uncertainty about the interpretation of Sin A.

Discussion Status

The discussion is ongoing, with participants exploring different methods for approaching the problem. Some have noted that the equation may have multiple solutions and that trial and error could be a viable strategy given the context of the problem.

Contextual Notes

There is mention of a tolerance for the output, indicating that an exact solution may not be necessary. Participants are also questioning the interpretation of Sin A, whether it refers to a trigonometric function or a multiplication operation.

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Homework Statement


mmplkx.jpg



The Attempt at a Solution


I am trying to solve for A but the sine thing has me all screwed up. This isn't for homework but I figured it might be better in this section. I get down to Sin A(4.625A + 171.87) = 229.16

I don't think I did it right at all and if I did I have no idea how to go any farther with it. Thanks for any help you guys might have.
 
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You can't really solve that algebraically unless you know some information about A. But what you can do is use a graph plotter and use that to get your values of A. You can use WolframAlpha.
 
ISX said:

Homework Statement


mmplkx.jpg



The Attempt at a Solution


I am trying to solve for A but the sine thing has me all screwed up. This isn't for homework but I figured it might be better in this section. I get down to Sin A(4.625A + 171.87) = 229.16

I don't think I did it right at all and if I did I have no idea how to go any farther with it. Thanks for any help you guys might have.
I believe this can only be solved numerically, or graphically.

Like many trig. equations, there are many solutions.
 
Well that explains why I couldn't get any further then lol. I can do a trial and error of A and that will be close enough for what I am doing, just figured I would get an exact number but if it will take something like that then I can wing it just as well. It's not something that has to be accurate exactly, it's just something that needs to be under a certain tolerance, as long as what I put in for A makes the output less than the tolerance it will work.

Thanks for the help!
 
ISX said:

Homework Statement


mmplkx.jpg



The Attempt at a Solution


I am trying to solve for A but the sine thing has me all screwed up. This isn't for homework but I figured it might be better in this section. I get down to Sin A(4.625A + 171.87) = 229.16

I don't think I did it right at all and if I did I have no idea how to go any farther with it. Thanks for any help you guys might have.

If SIN A means a number SIN times the number A, then you can convert this to a quadratic equation in A and solve it using standard formulas. However, if SIN A means the trigonometric function sin(A), then you have an equation that can only be tackled numerically.

RGV
 

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