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

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) (Show Source): You can put this solution on YOUR website!

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Answer by lwsshak3(11628) (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)
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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
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