Question #289b5

1 Answer
Jul 9, 2015

From the diagram below:
#sin(225^o) = -1/sqrt(2)##color(white)("XXXX")##cos(225^o)=-1/sqrt(2)##color(white)("XXXX")##tan(225^o) = 1#

Explanation:

#225^o = 180^o + 45^o#

So #225^o# is in the #3^(rd)# quadrant with a reference angle of #45^o#
enter image source here

We can read the three basic trigonometric functions directly from this diagram using their basic definitions.