Trigonometry Examples

\sec (\frac{5 π}{2})

$\sec (\frac{5 π}{2})$

Step 1

Rewrite

\sec (\frac{5 π}{2})

$\sec (\frac{5 π}{2})$ in terms of sines and cosines.

\frac{1}{\cos (\frac{5 π}{2})}

$\frac{1}{\cos (\frac{5 π}{2})}$

Step 2

Subtract full rotations of

2 π

$2 π$ until the angle is greater than or equal to

0

$0$ and less than

2 π

$2 π$ .

\frac{1}{\cos (\frac{π}{2})}

$\frac{1}{\cos (\frac{π}{2})}$

Step 3

The exact value of

\cos (\frac{π}{2})

$\cos (\frac{π}{2})$ is

0

$0$ .

\frac{1}{0}

$\frac{1}{0}$

Step 4

The expression contains a division by

0

$0$ . The expression is undefined.

Undefined