How do you calculate the #arctan(0)#?

1 Answer
Nov 21, 2015

#arctan(0) = 0#

Explanation:

#arctan(0)# is at which at which x #tan(x) = 0#
and #-pi/2 < x < pi/2#
(or #-90 < x < 90# if you use degrees)

#tan(x) = sin(x)/cos(x)#
#tan(x) = 0#
when
# sin(x) = 0#

Use the attached unit circle from wikipedia: enter image source here

# x = 0+n*2*pi#
or
# x = pi+n*2*pi#
so in this case
# x= n*pi#
where n is an integer
Only x = 0 satisfies
#-pi/2 < x < pi/2#

#sin(0)=0#
#tan(0)=0#
#arctan(0)=0#