Check the picture below.
notice, as from the left, we grab those two angles and slap them together on the right, they form a wide angle A, and a smaller
inscribed angle B.
now, the blue and red segments that came together, are both making up the inscribed angle B, and also sharing the side or endpoint, in the middle of angle A.
Well, function is already written in "function notation" though not explicitly which I assume is "function notation".
Explicit notation for this function is:

Hope this helps.
Answer:
You didn't post the graph choices, but it will look something like the attached photo. I also attached how to put the equation into slope-intercept form and another photo explaining what that means in case you haven't learned!
Step-by-step explanation:
Well you can try rewriting it to this
answer is d 270
first start of by factoring and subtracting the 1 into the right side
sin(x) ( 2 sin (x) + 1) = -1
set each one equal to -1
sin( x) = -1 and 2 sin (x) +1 = -1
2 sin (x) = -2
sin ( x) = -1
so therefore we have our final equation
sin ( x ) = - 1 and sin (x) = -1
so then you look in your unit circle and find what coordinate equals -1 in terms of sin x