Question

exact value of the unit circle function tan 0

Answer 1

The tangent function is defined as the ratio of the sine function to the cosine function:

\[
\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}
\]

For \(\theta = 0\):

\[
\sin(0) = 0 \quad \text{and} \quad \cos(0) = 1
\]

Therefore,

\[
\tan(0) = \frac{\sin(0)}{\cos(0)} = \frac{0}{1} = 0
\]

Thus, the exact value of \(\tan(0)\) is \(0\).