Mistakes give rise to Problems- 11

Geometry Level 4

In maths we see the following property for multiplication of numbers,$\color{Green}{a(b\times c) = b\times a(c)}$

But if you do that here, $\sin (3\times a) = 3\times \sin (a)$ then it will be a $$\color{Red}{\textbf{Big Mistake !!!}}$$

But for how many angles $$\color{Blue}{a}$$ such that $$-100\leq a \leq 100$$, is the above said "false" property seen to be "true" ?

Details and assumptions:-

Angle measuring $$\color{Blue}{a}$$ is actually measuring " $$\color{Blue}{a}$$ radians"

This problem is a part of my set Mistakes Give Rise to Problems

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