Question

What is the value of sec 3pi/2 in simplest form with a rational denominator?

Answer 1

The given expression is

`sec(3\pi)/(2)`

Since sec is the opposite of cosine, then

`sec(3\pi)/(2)=(1)/(cos(3\pi)/(2))`

Since the value of cos(3pi/2) is 0, then

`\begin{gathered} cos(3\pi)/(2)=0 \\ \\ sec((3\pi)/(2))=(1)/(cos(3\pi)/(2))=(1)/(0) \end{gathered}`

Since 1/0 is an undefined value, then

The answer is undefined