usually a small angle like 10 degs or so
at 45 degs the number is out by
radians = 0.78539816339744830961566084581988
sin = 0.70710678118654752440084436210485
thats a pretty large amount about 10 percent different
radians = 0.52359877559829887307710723054658
sin = 0.5
not as bad about 5 percent
so looks like if you dont mind 5 percent error then pi/6 rads or 30 degs is fine
the taylor series expansion of sin x = x -x^3/3! +x^5/5! .....
where x is in radians.
15 degees = .26179 radians
sin 15 = .25881 from calulator
It depends upon the level of precision needed. certainly using the approximation is acceptable at 15 degrees
Within 15 degrees is usually good enough.
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usually a small angle like 10 degs or so
at 45 degs the number is out by
radians = 0.78539816339744830961566084581988
sin = 0.70710678118654752440084436210485
thats a pretty large amount about 10 percent different
radians = 0.52359877559829887307710723054658
sin = 0.5
not as bad about 5 percent
so looks like if you dont mind 5 percent error then pi/6 rads or 30 degs is fine
the taylor series expansion of sin x = x -x^3/3! +x^5/5! .....
where x is in radians.
15 degees = .26179 radians
sin 15 = .25881 from calulator
It depends upon the level of precision needed. certainly using the approximation is acceptable at 15 degrees
Within 15 degrees is usually good enough.