How do you use the point (-1,1) on the terminal side of the angle to evaluate the six trigonometric functions?

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1 Answer
Nghi N
Nov 28, 2016

Find values of trig functions

Explanation:

On the trig unit circle, the point (-1, 1) is located on the arc
#t = (3pi)/4# or arc #t = -(5pi)/4# (Co-terminal).
With #t = (3pi)/4# the unit circle and the trig table of special arcs give the 6 values of the 6 trig functions:
#sin t = sqrt2/2#
#cos t = - sqrt2/2#
#tan t = sin/(cos) = - 1#
#cot t = 1/(tan) = - 1#
#sec t = - 2/sqrt2 = - sqrt2#
#csct = 2/sqrt2 = sqrt2#

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