How to generate random variable theta for F(theta)=N(1 - (mu*B)/(k*​T)*cos(the​ta)). For N=1 and mu*B/k*T=0.01

Hello everyone,

Im trying to generate random theta numbers from a uniform distribution (Inverse Tranformation Method), my equation F(theta)=N(1 - (mu*B)/(k*T)*cos(theta)) is called Boltzmann Distribution. I will be happy If someone can help me! the Figure I should get, looks like this

[Dyuman Joshi]

Looks like a fairly simple graph. What have you tried yet?

If you have not tried anything, start with plot

[Souhail]

@Dyuman Joshi Thank you for you reply, I already tried to plot it, but its not that easy, when I plot it I dont get the desire graph

Answer 1

[Dyuman Joshi]

syms theta
fplot(1-0.01*cosd(theta))
xlim([0 180])
ylim([0.99 1.015])

Answer 2

[Walter Roberson]

syms mu B k T theta

f(theta) = 1 - (mu*B)/(k*T)*cosd(theta)

f(theta) = 

x = rand(1,5) * 180

x = 1×5

155.8450 168.7684 129.4596 95.2868 64.1594

f(x)

ans = 

vpa(ans)

ans = 

[Souhail]

@Walter Roberson thank you for you help, but when I plot it I don't get the plots which I desire, I don't know why !

[Walter Roberson]

In the code I posted, you would not be able to plot until you had substituted in actual values for the variables such as B mu T k