Question

I need help with how to solve this​

Answer 1

Answer:

  $-\dfrac{5\sqrt{11}}{11}$

Step-by-step explanation:

Use the relationship between the various trig functions.

  $\tan{\theta}=\dfrac{\sin{\theta}}{\cos{\theta}}=\dfrac{\left(-\dfrac{5}{6}\right)}{\left(\dfrac{\sqrt{11}}{6}\right)}=-\dfrac{5}{\sqrt{11}}\\\\=-\dfrac{5}{\sqrt{11}}\cdot\dfrac{\sqrt{11}}{\sqrt{11}}=\boxed{-\dfrac{5\sqrt{11}}{11}}$