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If sec x = -4 and csc x > 0, then find the other trig ratios.

 

 Mar 10, 2021
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sec = -4    means   cos = -1/4

 

sin^2 + cos^2 = 1

1 - cos^2 = sin^2

1 - 1/16   = 15/16      sin = sqrt (15) /4       (positive because csc is positive)

 

tan =  sin / cos         cot = cos / sin    or   1/ tan               substitute in to find these

csc = 1/sin                        

 Mar 10, 2021

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