How to find the first 3 roots of sin(x)+0.5=0 bigger than zero? (Multiple roots)

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Without using fzero function and without plotting the sin(x)+0.5 to find where the plot coincides with the x-axis, is there another way to obtain the first 3 roots of sin(x)+0.5=0?
Thanks Efe

Accepted Answer

Mischa Kim
Mischa Kim on 6 Aug 2014
Efe, that looks like a trick question... sin(x)+5 cannot be equal to zero, since sin(x) is between -1 and +1.
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Mischa Kim
Mischa Kim on 6 Aug 2014
Edited: Mischa Kim on 6 Aug 2014
You can use any root-finding algorithm (Bisection, Newton-Raphson, etc.) to get the first root (e.g. in [pi,3*pi/2]) and then use symmetry and periodicity of the sine to get as many of the other roots as you need to.

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