Tangent of Straight Angle

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Theorem

$\tan 180 \degrees = \tan \pi = 0$

where $\tan$ denotes tangent.


Proof

\(\ds \tan 180 \degrees\) \(=\) \(\ds \frac {\sin 180 \degrees} {\cos 180 \degrees}\) Tangent is Sine divided by Cosine
\(\ds \) \(=\) \(\ds \frac 0 {-1}\) Sine of Straight Angle and Cosine of Straight Angle
\(\ds \) \(=\) \(\ds 0\)

$\blacksquare$


Also see


Sources

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