What does tan pi/2 equal?

2 Answers
Daniel L.
Sep 7, 2015

#tan(pi/2)# is not defined.

Explanation:

You can find it out whwn you try to calculate it using identity

#tanx=sinx/cosx#

For #x=pi/2# the denominator of this expression is zero, so it cannot be calculated.

Alan P.
Sep 7, 2015

#tan(pi/2)# is undefined

Explanation:

In general the #tan# of an angle based on the unit circle in standard position is defined to be #y/x# where #(x,y)# is the coordinate of the terminal point of the radial arm.
enter image source here
...but at #pi/2#
#color(white)("XXX")x=0#
and division by #0# is undefined.

Related questions
See all questions in Trigonometric Functions of Any Angle
Impact of this question
149360 views around the world
You can reuse this answer
Creative Commons License