Question

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

Answer 1

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`