What does tan 2pi equal?

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What does tan 2pi equal?

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Answer 1 · 2015-09-15T13:23:36

$tan 2pi=0$

Explanation:

You can use the period of the trigonometric function to reduce $2pi$ to $0$ , so you have

$tan 2pi=tan 0$

To calculate $tan 0$ you can use the formula $tan alpha= sin alpha/cos alpha$ . From this formula you get:

$tan 0=sin 0/cos 0=0/1=0$

Answer 2 · 2015-09-15T13:28:31

$tan(2pi) =0$

Explanation:

In terms trigonometric functions, $2pi$ is equivalent to $0$ .

Based on the unit circle an angle of $0$ has its terminal point on the positive X-axis ; the side opposite the angle has a length of $0$ (and the adjacent side has a length of $1$ )

$tan = ("opposite")/("adjacent")$

$tan(2p) = tan(0) = 0/1 = 0$

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What does tan 2pi equal?

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