Create an equally spaced vector when taking the sine of another vector

I want to create a vector containing 25 points such that the points are equally spaced when you take the sine of another vector : As shown in the code below:

%angle variable (θ)
theta_min = -pi/2; %minimum angle
theta_max = pi/2; %maximum angle
nt = 25; %number of angles
theta = linspace(theta_min,theta_max,nt); %angle variable
%p=sin(θ)
p = sin(theta);  %I want this vector to range from -1 to 1 with 25 equally spaced points.

Thnaks.

Answer 1

[Stephan]

p_inv = linspace(-1,1,25);
theta = asin(p_inv);
p = sin(theta);
diff(p) % Is p equally spaced?

ans = 1×24

0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833 0.0833

scatter(p,theta)

[Lama Hamadeh]

smart move! Thanks!