Fill in the blanks Enter the domain and the range in interva

Fill in the blanks. (Enter the domain and the range in interval notation.) Function y = arctan x Alternative Notation Domain Range Evaluate the expression without using a calculator. (Enter your answer in radians.) arcsin 1/2

Solution

y=arctanx

y=tan^-1x

domain

here is no restriction on x values therefore domain is (-inf,inf)

range

And as we know that

tan function is restricted on domain (-pi/2,pi/2)

Therefore range of tan^-1 function is the domain of the tan function that is (-pi/2,pi/2)