What are the six trig function values of #pi/36#?
1 Answer
Nov 26, 2015
As far as I know there is no exact algebraic expression, so we are stuck with approximations...
Explanation:
#sin(pi/36) ~~ 0.08715574275#
#cos(pi/36) ~~ 0.99619469809#
#tan(pi/36) ~~ 0.08748866353#
#csc(pi/36) ~~ 11.47371324567#
#sec(pi/36) ~~ 1.00381983754#
#cot(pi/36) ~~ 11.43005230276#
They are related algebraically as follows:
Let
Then:
#sin(pi/36) = alpha#
#cos(pi/36) = sqrt(1-alpha^2)#
#tan(pi/36) = alpha/sqrt(1-alpha^2)#
#csc(pi/36) = 1/alpha#
#sec(pi/36) = 1/sqrt(1-alpha^2)#
#cot(pi/36) = sqrt(1-alpha^2)/alpha#