How Can I Make θ the Subject of This Complex Mathematical Formula?

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To make θ the subject of the equation X = [cosθ + R(V-θ)^-1.6364] - 1, it is noted that an analytic solution is not feasible. The range for θ is limited to [0, π], and the values of R and V may impose further restrictions. A numerical approach using computational tools is necessary to find θ. The discussion emphasizes the complexity of the equation and the need for practical methods to solve it. Overall, a computer-based solution is required to accurately determine θ.
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Help me make θ the subject of the formula in the following equation:

X = [cosθ + R(V-θ)-1.6364]-1]
 
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otakwa said:
Help me make θ the subject of the formula in the following equation:

X = [cosθ + R(V-θ)-1.6364]-1]


Het otakwa and welcome to the forums. I'll assume your equation is X = [cosθ + R(V-θ)^-1.6364] - 1.

The question I have for you is are you aware that you will only be able to get a value for θ to be in the range of [0,pi] and with the R and V it might even be more restricted.

For this particular equation you won't be able to get an analytic answer and you will need to use a computer to get the answer.

Have you ever done this kind of thing before?
 

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