SOLUTION: Let θ be an angle in quadrant IV such that cosθ= 4/9 Find the exact values of: csc θ cot θ .

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Question 921945: Let θ be an angle in quadrant IV such that cosθ= 4/9
Find the exact values of:
csc θ
cot θ

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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Let θ be an angle in quadrant IV such that cosθ= 4/9
Find the exact values of:
csc θ
cot θ
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cos θ=4/9
sin θ=-√(1-cos^2θ)=-√(1-16/81)=-√(65/81)=-√65/9
csc θ=-1/sin θ=-9/√65=-9√65/65
cot θ=cos θ/sin θ=-4/√65=-4√65/65