Answer:
B) Sin^-1(-1) = 3pi/2 or 270°
D) Sin^-1(-1) = -pi/2 or -90°
Step-by-step explanation:
Sine function:
The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.
Inverse sine:
The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.
Sin^-1(-1)
Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.
(y + 1)^3 would just be dividing the two
If you want it completely simplified, then it’s the following:
(y + 1)(y + 1)(y + 1)
= y^2 + y + y + 1 (y + 1)
= y^2 + 2y + 1 (y + 1)
= y^3 + y^2 + 2y^2 + 2y + y + 1
= y^3 + 3y^2 + 3y + 1
