Why is tan (0) = 0?

1 Answer
Gió
Jun 23, 2015

You may see this from either the definition of tan or from geometry.

Explanation:

1] the tangent is equal to the ratio sin/cos so if you have:
tan(0)=sin(0)/cos(0)=0/1=0
2] obseving the geometrical meaning of the tangent you have:
enter image source here
You can see that when alpha becomes very small or zero the length of the red segment, representing the tan, becomes small and eventually zero when alpha=0.

Hope it helps!

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