What is the equation for solving for alpha?

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The discussion revolves around solving the equation M/rF = Sin(alpha)Cos(theta) + Sin(theta)Cos(alpha) for the variable alpha. The user expresses difficulty in progressing with the problem despite trying multiple approaches. A suggestion is made to use the identity \sin(a+b) = \sin a \cos b + \cos a \sin b to simplify the equation. Another user proposes a potential solution involving the arcsine function, indicating that alpha could be expressed as \arcsin(M/rF) - theta. The conversation highlights the challenges of solving trigonometric equations and the collaborative effort to find a solution.
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i have this equation. While working on a problem i came across this. I need to solve for alpha. I can't seem to get anywere. I tried the problem two ways and end up havin the same problem so any help be appreciated. Thanks in advance

Solve for alpha

M/rF = Sin(alpha)Cos(theta) + Sin(theta)Cos(alpha)

(this is as far as i would get than get stuck
i no the value for M,r,F,theta. Need to find alpha
thanks a lot
 
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\sin (a+b) = \sin a \cos b + \cos a \sin b
 
got it
thanks
 
Here's a wild idea :approve:

\arcsin(\frac{M}{rF}) = \theta + \alpha

Edit: Oh damn, just when i was typing it :frown:
 
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