Please can you help me transpose this problem?

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Homework Help Overview

The original poster presents a problem involving the equation 7.0588 = sin(10.4*∏*t) and seeks to transpose it to find a value for t. The context involves trigonometric functions and their properties.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants discuss the validity of taking the inverse sine of 7.0588, noting that it exceeds the range of the sine function. Others question the values used in the equation and the context of the problem.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the sine function's range and the original poster expressing a desire for clarification on a specific step. There is an acknowledgment of the need for more context regarding the problem.

Contextual Notes

Participants note that the sine of any angle must be between -1 and 1, raising questions about the values provided in the original equation. The original poster indicates they will provide more information about the problem later.

acat
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7.0588 = sin(10.4*∏*t)

how do i transpose this to solve the equation finding a value for t?

thanks
 
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invsin(7.0588) gives (10.4*∏*t)
 
invsin(7.0588) in my casio gives a math error
 
your casio is ok because the sin of ANY angle must not be greater than 1.
 
hmmm here is the full problem, i thought i could solve it with the first question. could you help me more here grzz?

X=a*Sin(omega*t)

where x = 0.6m
a = 0.085m
omega = 10.4*Pi

0.6=0.085*Sin(10.4*Pi*t)

any ideas mate?
 
Mod note: moved to Homework forums.

acat, please make your own attempts to solve the problem. We will not solve it for you.
 
acat said:
hmmm here is the full problem, i thought i could solve it with the first question.
Actually, no, what you posted wasn't the full problem. Why is x = 0.6 m? Why is a = 0.085 m? What situation does this equation model? You need to post the entire word problem. It's possible you plugged in the wrong values for the variables.
 
micromass i wouldn't dream of expecting others to finish homework for me. I am just struggeling with this 1 step of my problem and its really bugging me. I am simply asking for help with this 1 step so id feel confident to go off on my own and finish my problem.

Anyhow, ill post the problem up later on. thanks
 
acat said:
micromass i wouldn't dream of expecting others to finish homework for me. I am just struggeling with this 1 step of my problem and its really bugging me. I am simply asking for help with this 1 step so id feel confident to go off on my own and finish my problem.

Anyhow, ill post the problem up later on. thanks

The equation you wrote is easy to deal with: it has NO (real) solutions. That is because you are asking to have a value of "sine" that is > 1, and that cannot happen for any real angle.

However, it does have solutions in the complex plane; one is t = 0.0480769 - 0.080874I, where I = sqrt(-1).

RGV
 

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