How do you find the 6 trigonometric functions for 5pi/3?

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How do you find the 6 trigonometric functions for 5pi/3?

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Answer 1 · 2015-09-14T06:35:34

#5pi/3# = 300 = 360 - 60 = 2#pi# - #pi/3#
sin ( 2#pi# - #pi/3# ) = - sin #pi/3# = #sqrt#3 / 2
Similarly Cos ( 2#pi# - #pi/3# ) = cos#pi/3# = 1/2.
tan ( 2#pi# - #pi/3# ) = - tan#pi/3# = - #sqrt3#

Explanation:

Taking reciprocals we can compute Cosec #5pi/3# = - 2 / #sqrt# 3'
sec #5pi/3# = 2, cot #5pi/3# = - 1 / #sqrt# 3.

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How do you find the 6 trigonometric functions for 5pi/3?

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