Find the Exact Value sin(arcsin(6))

Problem

sin(arcsin(6))

Solution

1. Identify the domain of the inverse sine function, arcsin(x)

2. Recall that the function y=arcsin(x) is only defined for values of x in the interval [−1,1]

3. Evaluate the input value x=6 against the domain.

4. Determine that since 6>1 the value 6 is outside the domain of the arcsin() function.

5. Conclude that the expression is undefined because arcsin(6) does not exist as a real number.

Final Answer

sin(arcsin(6))=Undefined

Want more problems? Check here!