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

1 Answer
Nghi N.
Nov 21, 2015

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

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