Answer:
[tex]sin (-150^{\circ})[/tex]=[tex]-sin30^{\circ}[/tex]
Step-by-step explanation:
Given : [tex]sin (-150^{\circ})[/tex]
To Find: Which of the following expressions is equal to [tex]sin (-150^{\circ})[/tex]
Solution:
Property : [tex]sin(-x)=sinx[/tex]
So, [tex]sin (-150^{\circ})=-sin 150^{\circ}[/tex]
Now using identity : [tex]sin x = sin (180-x)[/tex]
So, [tex]-sin 150^{\circ} = -sin(180^{\circ}-150^{\circ})[/tex]
[tex]-sin 150^{\circ} = -sin30^{\circ}[/tex]
Thus Option C is correct.
Hence [tex]sin (-150^{\circ})[/tex]=[tex]-sin30^{\circ}[/tex]
