# Optimization problem for trigonometric functions

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Edited: ANKUR KUMAR on 12 Mar 2021
How to minimize below equation wrt θ (Theta) where k, l0, cotθ0, r1 and r2 constant only variable is theta ANKUR KUMAR on 12 Mar 2021
Edited: ANKUR KUMAR on 12 Mar 2021
If k, lo, r1, and r2 are constants, you can use anonymous function to calculate the expression:
k=randi(10,1,1);
lo=randi(10,1,1);
r1=randi(10,1,1);
r2=randi(10,1,1);
% theta in degree
func = @(theta) (k*lo*cotd(theta)/r1^4)+(k*lo*((cscd(theta)/r2^4)-(cotd(theta)/r1^4)))
func(25) % make sure to put values in degree, not in radians
You can write multiple values while calling the function
func([25,45,120,160])

David Hill on 12 Mar 2021
I learned that you take the derivative of the function and set it to zero to find the points of relative minimum and maximum.
theta=acos((r2/r1)^4);%after simplifying

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