skeyar6oester skeyar6oester

11-11-2016
Mathematics

Answered

What is the value of the expression? Do not use a calculator.

tan(-11pi/6)

Verified Answer :

scme1702 scme1702

17-11-2016

tan(-11π/6)
= tan(π/6 - 2π)
= tan(π/6)
= √(3)/3

Answer Link

Anonymous Anonymous

06-05-2019

Answer:

\(tan(\frac{-11\pi}{6})= tan (-\pi +\frac{-5\pi}{6})\\\\ tan[-(\pi +\frac{5\pi}{6})]\\\\=-tan(\pi +\frac{5\pi}{6})\\\\=-(tan\frac{5\pi}{6})\\\\=-tan(\frac{5\pi}{6})\\\\=-tan(\pi -\frac{\pi}{6})\\\\=tan \frac{\pi}{6}\\\\ =\frac{1}{\sqrt{3}}\)

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