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

1 Answer
Dec 20, 2016

Answer:

#SinB=-5/6#, #cosB=(+-sqrt(11)/6)#, #tanB=(+-5(sqrt(11))/11)#, #CotB=(+-sqrt(11)/5)#, #SecB=(+-6(sqrt(11))/11)#

Explanation:

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.