What does tan 0 equal?

1 Answer
Alan P.
Oct 21, 2015

tan(0) is "undefined"

Explanation:

In general based on a triangle with adjacent side on the X-axis and a hypotenuse extending from the origin to a point on the unit circle tan is defined as
color(white)("XXX")tan(theta) = ("opposite side")/("adjacent side")

As theta rarr 0
the "adjacent side" rarr 0
so the definition of tan(0) becomes an attempt to divide by 0,
an operation which is "undefined"

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