Trigonometry Examples

$y = \cot (2 π)$

Step 1

Simplify $\cot (2 π)$ .

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Step 1.1

Rewrite $\cot (2 π)$ in terms of sines and cosines.

$y = \frac{\cos (2 π)}{\sin (2 π)}$

Step 1.2

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

$y = \frac{\cos (2 π)}{\sin (0)}$

Step 1.3

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

$y = \frac{\cos (2 π)}{0}$

Step 2

The equation cannot be solved because it is undefined.

$Undefined$