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

[coolnessitself]

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

 

[Tide]

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.

 

[tacman]

for any help

It is not possible to solve for theta in terms of a constant b in this equation. The reason being that sin(theta)/theta is a transcendental function, meaning it cannot be expressed in terms of a finite number of algebraic operations. As you mentioned, Taylor expanding the function would result in an infinite series, making it impossible to have an explicit value for theta. Additionally, since theta is not limited to any value, there are an infinite number of solutions for theta that would satisfy the equation. Therefore, it is not possible to solve for theta in this scenario.