How would you find the exact value of the six trigonometric function of 5pi/4?

1 Answer
Nghi N.
Jun 22, 2016

Find 6 values of trig functions

Explanation:

Trig table, unit circle, and property of supplementary arcs -->
cos ((5pi)/4) = cos (pi/4 + pi) = - cos (pi/4) = -sqrt2/2
sin ((5pi)/4) = sin (pi/4 + pi) = - sin (pi/4) = -sqrt2/2
tan ((5pi)/4) = sin/(cos) = 1
cot ((5pi)/4) = 1/(tan) = 1
sec ((5pi)/4) = 1/(cos) = - 2/sqrt2 = -sqrt2
csc ((5pi)/4) = 1/(sin) = -sqrt2

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