Respuesta :
Using equivalent angles, the solutions to the equation are given as follows:
[tex]\theta = 255^\circ, \theta = 285^\circ[/tex]
What are equivalent angles?
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the equation is:
[tex]\sin{\theta} = -0.966[/tex]
Applying the inverse relation:
[tex]\theta = \arcsin{-0.966} = 255^\circ[/tex]
Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:
[tex]270^\circ + (270^\circ - 255^\circ) = 285^\circ[/tex]
More can be learned about equivalent angles at https://brainly.com/question/28025397
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