Question

True or False? Explain your answer. Because sin(−t) = − sin t, it can be said that the sine of a negative angle is a negative number.

Answer 1

We have that
sin(−t) = − sin t
If the negative angle ends up being in the first or second quadrant then the sine of a negative angle is not necessarily a negative number

for example
for t=-210°----------> the angle belong to the second quadrant
sin (-210°)=1/2--------> is not a negative number
so

the answer is
False