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I think you should look at some communication textbook. There should be the algorithm about FM signal. As I remember, it should be a building block diagram called "delay". However, in trigonometry, you just add or subtract angle of 90 or pi/2 radian.
I dont know why you need such a signal, analgously you just need a delay line and digitally just remember that the derivative of sin(x) = cos(x). then you just need to integrate your signal
I think it will be better it you explained mre details about the problem you need to do this for, it will be great if you explained the whole problem
Roshdy
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