How to find the maximum of symbolic equation which contains trigonometric terms?

1 visualizzazione (ultimi 30 giorni)
I am trying to find the maximum value of "P" in the following equation with respect to "theta". ""dP/dtheta = 0""
P = 0.5*gama*((H)^2)*(1-kv)*Kgama + q*H*(1-kv)*Kq
where
Kgama=((1+tan(beta)*tan(g))*tan(beta)+((1+tan(beta)*tan(g))^2/(tan(theta)-tan(g))))*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));
Kq = (b/H)*cos(g)*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));

Risposta accettata

Torsten
Torsten il 29 Ago 2022
Modificato: Torsten il 29 Ago 2022
syms gama H kv q beta phi g theta psi delta b
P = 0.5*gama*((H)^2)*(1-kv)*((1+tan(beta)*tan(g))*tan(beta)+((1+tan(beta)*tan(g))^2/(tan(theta)-tan(g))))*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)))+ q*H*(1-kv)*(b/H)*cos(g)*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));
dPdtheta = diff(P,theta);
sol = simplify(solve(dPdtheta==0,theta))
sol = 

Più risposte (0)

Categorie

Scopri di più su Symbolic Math Toolbox in Help Center e File Exchange

Prodotti


Release

R2021a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by