Because arcsin or sin-1 only gives outputs that are in the first and fourth quadrant.
5pi / 6 is in the second quadrant.
First, let's move combine like terms:
-5y + 8y = 6 + 2 -12.
3y = -4.
y = -4/3
The restriction of the given equation is
, other than 0≤x≤2π.
What is restriction of equation?
Restriction of the equation is the value of domain where the value is limited.
Given,

taking
common, we get

we know

we get,

and the restriction is 0≤x≤2π.
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Point A, point C, point B, and point E