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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
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Luc
Normally you should attach a worksheet with your problem...
Prime 4 sheet attached.
Success!
Luc
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)
The answer is one or two or three values depend on Q.
@ttokoro wrote:
The answer is one or two or three values depend on Q.
No, as it was stated, that Q is only in the range from 0 to 1!
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.
@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)
Thats a mathematical limitation. An equation like yours can't be solve for theta analytically. You have to resort to numerical methods.