Please can you help me transpose this problem?

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The discussion revolves around the equation 7.0588 = sin(10.4*π*t) and the challenge of finding a value for t. It is clarified that the sine function cannot exceed 1, making the equation unsolvable in real numbers. The user expresses frustration over a math error encountered while using a calculator to find the inverse sine. A suggestion is made that the equation may have been incorrectly set up, prompting a request for the full context of the problem. Ultimately, it is noted that while there are no real solutions, complex solutions do exist.
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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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