SOLUTION: If θ is positive acute angle and cosec θ =√3, then the value of cot θ-cosec θ is

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Question 920875: If θ is positive acute angle and cosec θ =√3, then the value of cot θ-cosec θ is
Answer by lwsshak3(11628) About Me  (Show Source):
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If θ is positive acute angle and cosec θ =√3, then the value of cot θ-cosec θ is
csc θ=√3=1/sin θ
sin θ=1/√3
cos θ=√(1-sin^2θ)=√(1-1/3)=√(2/3)=√2/√3
cot θ=cos/sin=√2/1=√2
cot θ-cosec θ=√2-√3