How do you find the exact values of the six trigonometric functions of theta if the terminal side of θ in standard position contains the point (-2,0)?

1 Answer
Alan P.
Jul 30, 2015

If the terminal side of #theta# (in standard position) contains the point #(-2,0)# then #theta = pi#
and the six trigonometric values are the standard values for #pi#

Explanation:

#(-2,0)# is a point on the negative X-axis.

Assuming a hypotenuse of length 1
the side adjacent to the origin will have a length of #-1#
and the side opposite the origin will have a length of #0#

#sin(pi) = 0#
#cos(pi) = -1#
#tan(pi)= 0#

#csc(pi) # is undefined
#sec(pi)=-1#
#cot(pi)# is undefined

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