MATLAB: Problem in using asin function

arcsinfreq

Consider the followingj
t = 0 : 0.02 : 10;
nu = (t-5).^2 + 2;
omega = 2*pi*nu;%as a polynomial of degree 2
f = sin(omega);
Since f has defined as sin(omega), it should be possible to recalculate omega from f. That is:
Omega = asin(f);
plot(t,omega,'b',t,Omega,'r--')
Of course omega and Omega are no the same. But, is there any solution for this problem?

Best Answer

This is not a problem with MATLAB. This is the property of sin function. Sin is a periodic function, therefore, its inverse function asin can only the output value in a specific range. Consider this
sin(pi/2) = 1
sin(5*pi/2) = 1
sin(9*pi/2) = 1
so what should be the output of
asin(1)
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