Question

evaluate. write your answer in simplified, rationalized form. do not round. tan(π) =

Explanation:

Step1: Use the unit - circle and tangent formula

Recall that \(\tan\theta=\frac{\sin\theta}{\cos\theta}\). For \(\theta = \pi\), \(\sin(\pi)=0\) and \(\cos(\pi)=- 1\).

Step2: Calculate the value of \(\tan(\pi)\)

Substitute \(\sin(\pi)\) and \(\cos(\pi)\) into the formula \(\tan\theta=\frac{\sin\theta}{\cos\theta}\). We get \(\tan(\pi)=\frac{\sin(\pi)}{\cos(\pi)}=\frac{0}{-1}\).

Answer:

\(0\)