Tangent of Zero

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Theorem

$\tan 0 = 0$

where $\tan$ denotes tangent.


Proof

\(\displaystyle \tan 0\) \(=\) \(\displaystyle \frac {\sin 0} {\cos 0}\) Tangent is Sine divided by Cosine
\(\displaystyle \) \(=\) \(\displaystyle \frac 0 1\) Sine of Zero is Zero and Cosine of Zero is One
\(\displaystyle \) \(=\) \(\displaystyle 0\)

$\blacksquare$


Also see


Sources