+576 I am looking to find a solution to the equation (theta-90)pi=180sin(theta)
It looks relatively unassuming at first but is giving me a significant struggle. I know how to solve it easily with graphing software or a calculator but I am looking for an elegant solution using algebra.
+33661 Do we assume that theta is in degrees? If so this becomes
(θ*180/pi - 90)*pi = 180*sin(θ)
or (θ - pi/2) = sin(θ)
where θ is in radians.
However, there is no elegant algebraic solution here. Use a numerical method, such as Newton-Raphson or simple repeated substitution (say θ0 = 1, θn = sin(θn-1) + pi/2).
+33661 Do we assume that theta is in degrees? If so this becomes
(θ*180/pi - 90)*pi = 180*sin(θ)
or (θ - pi/2) = sin(θ)
where θ is in radians.
However, there is no elegant algebraic solution here. Use a numerical method, such as Newton-Raphson or simple repeated substitution (say θ0 = 1, θn = sin(θn-1) + pi/2).
