Question

Because sin (-t)= -sin t, can it be said that the sine of a negative angle is a negative number?

Answer 1

Sometimes, but not always.

Explanation:

This is true in some cases, for instance:

`sin(-pi/6)=-sin(pi/6)=-1/2`

`sin(-pi/2)=-sin(pi/2)=-1`

However, if the input angle between `-pi` and `-2pi`, then the resulting sine is actually positive:

`sin(-(3pi)/2)=-sin((3pi)/2)=-(-1)=1`

`sin(-(11pi)/6)=-sin((11pi)/6)=-(-1/2)=1/2`

I hope this helps!