Question

what is tan 2π?

Explanation:

Step1: Use the tangent function formula

$$\tan\theta=\frac{\sin\theta}{\cos\theta}$$

Step2: Substitute $\theta = 2\pi$

$$\tan2\pi=\frac{\sin2\pi}{\cos2\pi}$$

Step3: Recall the values of sine and cosine at $2\pi$

$\sin2\pi = 0$ and $\cos2\pi=1$
$$\tan2\pi=\frac{0}{1}$$

Step4: Simplify the expression

$$\tan2\pi = 0$$

Answer:

$0$