Respuesta :
Answer:
Option B.
Step-by-step explanation:
The given expression is
[tex]\sin^{-1}\left(\dfrac{1}{2}\right)[/tex]
It can be written as
[tex]\sin^{-1}\left(\dfrac{1}{2}\right)=\sin^{-1}\left(\sin (30^\circ\right)[/tex] [tex][\because \sin (30^\circ)=\dfrac{1}{2}][/tex]
[tex]\sin^{-1}\left(\dfrac{1}{2}\right)=30^\circ[/tex]
We know that sin is positive in first and second quadrant.
For first quadrant,
[tex]\theta=30^\circ[/tex]
For second quadrant,
[tex]\pi-\theta =180-30=150^\circ[/tex]
So, the required angles are [tex]30^\circ+360n,150^\circ+360n[/tex].
Therefore, the correct option is B.
Answer:
b.
30° + 360n, 150° + 360n
Step-by-step explanation:
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