How to find the value of tan(855) degrees ?

2 Answers
Jun 25, 2018

-1

Explanation:

For any degree over 360, subtract intervals of 360 off until it is less, for example

#855-360=495-360=135#

So you are looking for #tan(135)# this is halfway between 90 and 180 degrees. This means it behaves like 45 degrees, but with cos being the negative of #cos(45)#, since #tan(45)# is 1 #tan(135)# is -1.

Jun 25, 2018

#-1#

Explanation:

subtract multiples of #360^0# until we have

#0 < theta <360#

#tan(855)=tan(855-720)=tan135#

this is in #QII#

#tan135=-tan45=-1#