use the evenodd identities of the trigonometric functions to

use the even-odd identities of the trigonometric functions to find the exact value of the given expression. Do not use a calculator.

tan (- pi/6)=

type an exact answer using radicals as needed.

Solution

tan(-pi/6)

tan(-x) = -tanx     (odd function)

So, tan(-pi/6) = -tanpi/6

= - 1/sqrt3