Consider the inverse sine function defined by y sin1 x or y

Consider the inverse sine function, defined by y = sin^-1 x or y = arcsin x. Complete parts (a)-(d). What is its domain? (Type your answer in interval notation. Simplify your answer. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) What is its range? (Type your answer in interval notation Simplify your answer Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) Is this function increasing or decreasing? increasing decreasing Why is arcsin (-2) not defined? -2 is not in the domain -2 is not in the range.

Solution

A) Domain is [-1,1]

B) Range is [-pi/2 ,pi/2]

C) Increasing

D) - 2 is not in the domain