SOLUTION: Find value of tan θ , given cos θ =9/41, with 270 degrees less than or equal to θ less than 360 degrees.

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Question 886133: Find value of tan θ , given cos θ =9/41, with 270 degrees less than or equal to θ less than 360 degrees.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find value of tan θ , given cos θ =9/41, with 270 degrees less than or equal to θ less than 360 degrees.
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reference angle θ is in quadrant IV in which sin<0, cos>0
cos θ =9/41
sin θ=-√(1-cos^2 θ)=-√(1-81/1681)=-√(1600/1681)=-40/41
tan θ=sin θ/cos θ
tan θ=-40/9