Trigonometry Examples

$\cot (3 π)$

Step 1

Rewrite $\cot (3 π)$ in terms of sines and cosines.

$\frac{\cos (3 π)}{\sin (3 π)}$

Step 2

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\frac{\cos (3 π)}{\sin (π)}$

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{\cos (3 π)}{\sin (0)}$

Step 4

The exact value of $\sin (0)$ is $0$ .

$\frac{\cos (3 π)}{0}$

Step 5

The expression contains a division by $0$ . The expression is undefined.

Undefined