Question

What are the six trig function values of `(5pi)/3`?

Answer 1

Use trig table and unit circle -->
`sin ((5pi)/3) = sin (-pi/3 + (6pi)/3) = sin (-pi/3) = - sin pi/3 = - sqrt3/2`
`cos ((5pi)/3) = cos (-pi/3 + 2pi) = cos (-pi/3) = cos (pi/3) = 1/2`
`tan ((5pi)/3) = sin/(cos) = (sqrt3/2)(2/1) = sqrt3`
`cot ((5pi)/3) = 1/(tan) = 1/sqrt3 = sqrt3/3`
`sec ((5pi)/3) = 1/(cos) = 2`
`csc ((5pi)/3) = 1/(sin) = 2/sqrt3 = 2sqrt3/3`