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

1 Answer
Mrs. R
Dec 20, 2016

#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.

Related questions
See all questions in Relating Trigonometric Functions
Impact of this question
3989 views around the world
You can reuse this answer
Creative Commons License