How do I evaluate tan(23pi/6) without using a calculator?

2 Answers
Aug 16, 2015

-1/sqrt(3)

Explanation:

tan ((23pi)/6)
=tan (4pi - pi/6)
=(tan(4pi) - tan(pi/6))/(1+tan(4pi)tan(pi/6))
=(0-1/sqrt(3))/(1+0(1/sqrt(3)))
=-1/sqrt(3)

Aug 16, 2015

Find tan ((23pi)/6)

Ans: - sqrt3/3

Explanation:

tan ((23pi)/6) = tan (-pi/6 + 4pi) = tan (-pi/6) = - tan (pi/6) = - sqrt3/3