In radians.
sin(1.0003)
= 0.8416330376
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The uses of Sin, Cos etc. in Maths is in relation to Trigonometry. Trigonometry is the study of the relationship between angles and lengths of triangles.
I suggest that it is (sin A)^2 + (cos A)^2 = 1
sin^2 (feta) + cos^2 (feta) = 1 sin (feta) / cos (feta) = tan (feta)
If you have a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse.
The answer will depend on whether the angle is measured in degrees or radians.