Question

What are the six trig function values of `(16pi)/3`?

Answer 1

Find the 6 trig function values of `(16pi)/3`

Explanation:

Call `x = (16pi)/3.`
`sin x = sin (pi/3 + (15pi)/3) = sin (pi/3 + pi) = -sin (pi/3) = -sqrt3/2`
`cos x = cos (pi/3 + pi) = - cos pi/3 = -1/2`
`tan x = sin x/(cos x) = (sqrt3/2)(2/1) = sqrt3`
`cot x = 1/ (tan) = 1/sqrt3 = sqrt3/3`
`sec x = 1/(cos) = -2/sqrt3 = - (2sqrt3)/3`
`csc x= 1/(sin) = -2`