Question with rewriting or solving of isolating a variable on left side of equation.

[Jan3]

How can one re-write the equation with only theta on the left. I need to calculate theta when Q is known.

Will this be possible? Q is a ratio variable that rages between 0 and 1 and will be known from previous calculations. I know when Q=0.5 the Theta = PI and when Q=1 then Theta = 2*PI

[LucMeekes · Accepted solution]

Normally you should attach a worksheet with your problem...

Prime 4 sheet attached.

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Luc

[Jan3]

Thank you for your response Luc.

I have been trying to solve it symbolically, so that one can get an answer without computational input.

Can you please just indicate why it cant be solved symbolically? (If Q is known)

[ttokoro]

The answer is one or two or three values depend on Q.

[Werner_E]

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@ttokoro wrote:

The answer is one or two or three values depend on Q.

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No, as it was stated, that Q is only in the range from 0 to 1!

[ttokoro]

Q=1

[Werner_E]

OK, to make it unique we have to limit Q in (0, 1] and theta in (0, 2pi)

Q=0 could only be achieved as limit q-> 0

theta=0 has to be excluded as it means a divison by  zero and

theta=2 pi is excluded as otherwise theta(1) would have two solutions.

[Werner_E]

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@Jan3 wrote:

Thank you for your response Luc.

I have been trying to solve it symbolically, so that one can get an answer without computational input.

Can you please just indicate why it cant be solved symbolically? (If Q is known)

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Thats a mathematical limitation. An equation like yours can't be solve for theta analytically. You have to resort to numerical methods.