<h3>Answer: C) 180 or 0</h3>
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Work Shown:
Let y = sin(x). Solve for y then solve for x
-4+6*sin(x) = -4+4*sin(x)
-4+6*y = -4+4*y ... replace sin(x) with y
6y-4y = -4+4
2y = 0
y = 0/2
y = 0
sin(x) = 0 ... plug in y = sin(x)
x = arcsin(0) or x = 180-arcsin(0)
x = 0 or x = 180
We have two solutions here since
sin(0) = 0 and sin(180) = 0
The solutions x = 0 and x = 180 fit in the interval