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

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To solve the equation Sin A(4.625A + 171.87) = 229.16, it is crucial to determine whether "Sin A" refers to the sine function or a multiplication of a number by A. If it is the sine function, the equation cannot be solved algebraically and requires numerical or graphical methods, such as using a graph plotter or WolframAlpha. The discussion highlights that many solutions may exist for trigonometric equations, and an exact solution may not be necessary if a tolerance level is acceptable. Trial and error can be an effective approach for finding approximate values of A. Overall, clarity on the interpretation of "Sin A" is essential for proceeding with the solution.
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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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