Question

find the exact value of cot(13/6), with out using a calculator?

Answer 1

i am going to guess it is
\[\cot(\frac{13\pi}{6})\]

Answer 2

yes sorry . I have the answer in the back of the book as -1.. just not sure how to get there.

Answer 3

first note that \(\frac{13\pi}{6}\) is coterminal with \(\frac{13\pi}{6}-2\pi=\frac{\pi}{6}\)

Answer 4

then find \(\cot(\frac{\pi}{6})=\frac{\cos(\frac{\pi}{6})}{\sin(\frac{\pi}{6})}\)and it is not \(-1\) for sure

Answer 5

ohh I read the back and its sqrt3!

Answer 6

that makes more sense

Answer 7

\[\frac{\frac{\sqrt3}{2}}{\frac{1}{2}}=\sqrt3\]

Answer 8

thankkkkkkkkkkkkkkkk youuuuuuuuuuu!!!!

Answer 9

yw