Question

Find the exact values below. if applicable, click on "undefined". cot7pi/6

Answer 1

Answer:

$\sqrt{3}$

Step-by-step explanation:

Using the trigonometric identity

cot x = $\frac{1}{tanx}$

Consider tan($\frac{7\pi }{6}$ )

$\frac{7\pi }{6}$ is an angle in the third quadrant where tan > 0

Thus tan($\frac{7\pi }{6}$ ) = tan($\frac{7\pi }{6}$ - π ) = tan($\frac{\pi }{6}$ ) = $\frac{1}{\sqrt{3} }$

Hence

cot($\frac{7\pi }{6}$ ) = $\frac{1}{\frac{1}{\sqrt{3} } }$ = $\sqrt{3}$

Answer 2

Yo sup??

cot(7π/6)=cot(π+π/6)

=cot(π/6)

=√3

Hope this helps