I want to rewrite the following expression into arctan.

Hi All,

I want to rewrite the following expression into arctan. Can anyone help?

    m=(k_1*(sin(theta1) + cos(k_1*(gama - theta1))*sin(theta0) - cos(theta0)*sin(theta1) + cos(theta1)*sin(theta0) - M*sin(theta1) - k_1*sin(k_1*(gama - theta1)) - M*cos(k_1*(gama - theta1))*sin(theta1) + k_1*cos(theta0)*sin(k_1*(gama - theta1)) + M*k_1*sin(k_1*(gama - theta1)) - M*k_1*cos(theta1)*sin(k_1*(gama - theta1))))/(M*l*(2*k_1 - sin(k_1*(gama - theta1))*sin(theta1) + 2*k_1*cos(k_1*(gama - theta1))*cos(theta1) - k_1^2*sin(k_1*(gama - theta1))*sin(theta1))) - (k_1*(M*sin(theta1) - cos(k_1*(gama - theta1))*sin(theta1) - sin(theta0) + M*cos(k_1*(gama - theta1))*sin(theta1) - k_1*cos(theta1)*sin(k_1*(gama - theta1)) + cos(k_1*(gama - theta1))*cos(theta0)*sin(theta1) - cos(k_1*(gama - theta1))*cos(theta1)*sin(theta0) - M*k_1*sin(k_1*(gama - theta1)) + k_1*cos(theta0)*cos(theta1)*sin(k_1*(gama - theta1)) + k_1*sin(k_1*(gama - theta1))*sin(theta0)*sin(theta1) + M*k_1*cos(theta1)*sin(k_1*(gama - theta1))))/(M*(2*k_1 - sin(k_1*(gama - theta1))*sin(theta1) + 2*k_1*cos(k_1*(gama - theta1))*cos(theta1) - k_1^2*sin(k_1*(gama - theta1))*sin(theta1)))

Answer 1

[Walter Roberson]

No, there are no log terms and no imaginary constants and no sqrt() of expressions; there is nothing to rewrite into arctan. It would make more sense to rewrite it into tan

Some of the trig calls can be combined, for whatever that is worth. That does not make it any easier to understand, and has nothing to do with rewriting to arctan.