Question

Evaluate the following expressions. sin^(-1)(-(1)/(2))

Answer 1

The expression is sin^(-1)(-(1)/(2)). The angle whose sine is -(1)/(2) is -30 degrees or -π/6 radians.

Step-by-step explanation:

The expression is sin^(-1)(-(1)/(2)). The function sin^(-1)(x), also written as arcsin(x) or sin^(-1)(x), is the inverse of the sine function. It gives you the angle whose sine is a given value, in this case, -(1)/(2).

We can find the angle by using the unit circle or a calculator. The angle whose sine is -(1)/(2) is -30 degrees or -π/6 radians. So, sin^(-1)(-(1)/(2)) = -30 degrees or -π/6 radians.