SOLUTION: Find the exact value of csc q without finding q if tan q = 5/4 and cos q < 0

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Question 912121: Find the exact value of csc q without finding q if tan q = 5/4 and cos q < 0
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the exact value of csc q without finding q if tan q = 5/4 and cos q < 0
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you are working with a 3-4-5 right triangle in quadrant III where cos<0, sin<0
hypotenuse of right triangle=√(5^2+4^2)=√(25+16)=√41
tan(q)=sin(q)/cos(q)=5/4
sin(q)=-5/√41
csc q=1/sin(q)=-√41/5