Asked by Cynthia
Find the exact value of tan 5pi/12 using the half-angle identity.
Answers
Answered by
Steve
tan 5pi/6 = -1/√3
tan x/2 = (1-cos(x))/sin(x)
cos 5pi/6 = -√3/2
sin 5pi/6 = 1/2
tan 5pi/12 = (1 + √3/2)/(1/2)
= 2 + √3
tan x/2 = (1-cos(x))/sin(x)
cos 5pi/6 = -√3/2
sin 5pi/6 = 1/2
tan 5pi/12 = (1 + √3/2)/(1/2)
= 2 + √3
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