What does tan 0 equal?

1 Answer
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"