SOLUTION: What is the cotangent of theta and secant of theta if sin of theta=1/3, tangent of theta <0

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Question 799310: What is the cotangent of theta and secant of theta if sin of theta=1/3, tangent of theta <0
Answer by lwsshak3(11628) About Me  (Show Source):
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What is the cotangent of theta and secant of theta if sin of theta=1/3, tangent of theta <0
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sinx=1/3
reference angle in quadrant II where sin>0,tan<0,cos<0
cosx=-√(1-sin^2x)=-√(1-1/9)=-√(8/9)=-√8/3
tanx=sinx/cosx=-1/√8=-√8/8
cotx=1/tanx=-√8
secx=1/cosx=-3/√8=-3√8/8