# How do you find the exact values of other 5 trigonometric functions given csc B = -6/5 and cot B > 0?

$S \in B = - \frac{5}{6}$, $\cos B = \left(\pm \frac{\sqrt{11}}{6}\right)$, $\tan B = \left(\pm 5 \frac{\sqrt{11}}{11}\right)$, $C o t B = \left(\pm \frac{\sqrt{11}}{5}\right)$, $S e c B = \left(\pm 6 \frac{\sqrt{11}}{11}\right)$
B has two possible values, one in Quadrant 3 and one in Quadrant 4, where Cosecant and Sine are both negative. Plot angle B in the two quadrants where CscB is negative, quadrants 3 and 4. .Use the Pythagorean Theorem to find the length of the missing side in the triangle, $\sqrt{11}$. Then, for angle B in quadrants 3 and 4 determine the other trig ratios using the definitions.