the difference between 90° and 30° is 60°. then why is sine60° not equal to sine90°- sine30°?

Question

The difference between 90° and 30° is 60°. then why is sine60° not equal to sine90°- sine30°?

Answer 1

Because sine is not a linear function.

Answer 2

Because $\sin60^{\circ}=\frac{\sqrt3}{2}$, but $\sin90^{\circ}-\sin30^{\circ}=1-\frac{1}{2}=\frac{1}{2}$

and the contradiction in math does not exist.