Solving trigonometric equation (decoupling)
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I wanted to solve ϕ as a function of other variables
Is is possible to decouple this equation ?
Even matlab symbolic gave me some kind of log function. I don't understand what that mean actually.
any help is apperciated
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Alan Stevens
2020 年 8 月 19 日
How about just defining the function:
phi = @(psi, theta) atan( sin(psi).*sin(theta)./(cos(psi) + cos(theta)) );
4 件のコメント
Alan Stevens
2020 年 8 月 19 日
Yes, I did it by hand; it was a fairly obvious solution! I've no idea why Matlab came up with a complicated solution.
If you add cos(theta)sin(phi) to both sides, then factor out the sin(phi) on the left hand side; then divide both sides by cos(phi) and both sides by cos(psi)+cos(theta), you have tan(phi) = ... .
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