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Trigonometry

 csc^2V-cosVsecV=cot^2V
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csc^2V-cosVsecV=cot^2V
csc^2V-(cosV)(1/cosV)=cot^2V
csc^2V-1=cot^2V
csc^2V=1+cot^2V (this is a Pythagorean Identity)