Answer:
42° and 138°
Step-by-step explanation:
The given equation is:
[tex] \sin(x) = 0.6691[/tex]
We take sine inverse to get:
[tex]x = { \sin}^{ - 1} (0.6691)[/tex]
[tex]x = 41.998[/tex]
To the nearest degree, we have:
[tex]x = 42[/tex]
Sine is also positive in the second quadrant.
In the second quadrant:
[tex]x = 180 - 42 = 138 \degree[/tex]
