Can You Solve for Theta in the Equation sin(theta)/theta = Constant?

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SUMMARY

The equation sin(theta)/theta = b, where b is a constant, does not have a simple explicit solution for theta. Instead, the discussion emphasizes the use of graphical methods and numerical techniques to approximate the values of theta. The complexity arises from the nature of theta, which is not confined to traditional angle values but is a combination of constants. Therefore, practical approaches involve leveraging numerical methods for effective solutions.

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sin(theta)/theta = constant

I have a value theta I am trying to solve for. Theta isn't limited to any value (it isn't an angle, actually a bunch of constants multiplied together). say I have
sin(theta)/theta = b where b is another constant. Is there any way I can solve for theta=, in terms of b? I thought of taylor expanding the left hand side but then it just gets messy and I can't have an explicit value of theta...
thanks
 
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Unfortunately, there is no simple solution to that problem. You can get good approximations to the solutions (plural!) by graphing or by using numerical methods.
 

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