SOLUTION: if sec(x) = -5/4 and sin(x) < 0, find the exact value of cot(x)

Algebra ->  Trigonometry-basics -> SOLUTION: if sec(x) = -5/4 and sin(x) < 0, find the exact value of cot(x)      Log On


   

Question 960980: if sec(x) = -5/4 and sin(x) < 0, find the exact value of cot(x)
Found 2 solutions by harpazo, lwsshak3:
Answer by harpazo(655) About Me  (Show Source):
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
if sec(x) = -5/4 and sin(x) < 0, find the exact value of cot(x)
***
reference angle x is in quadrant III where sin<0, cos<0
working with a (3-4-5) reference right triangle in quadrant III
cosx=1/secx=-4/5
sinx=-3/5
cotx=cosx/sinx=-4/-3=4/3