How do you calculate the #arctan(-1)#?

1 Answer
Shwetank Mauria
Mar 6, 2016

#arctan(−1)=(npi-pi/4)#, where #n# is an integer i.e. #arctan(−1)# can take values such as #{.......,-9pi/4,-5pi/4,-pi/4,3pi/4,7pi/4,.....}#

Explanation:

#arctan(−1)# is the angle whose tangent is #-1#.

As #tan(-pi/4)=-tan(pi/4)=-1# and tangent of angle has a cycle of #p# radians

We can generally put #arctan(−1)=(npi-pi/4)#, where #n# is an integer i.e. #arctan(−1)# can take values such as #{.......,-9pi/4,-5pi/4,-pi/4,3pi/4,7pi/4,.....}#

Related questions
See all questions in Basic Inverse Trigonometric Functions
Impact of this question
1650 views around the world
You can reuse this answer
Creative Commons License