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2015-03-23T21:57:44+05:30

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using\ the\ identity\\ \\ 1+tan^2 \theta=sec^2 \theta\\ \Rightarrow tan^2 \theta=sec^2 - 1 \theta\\ \Rightarrow tan \theta= \sqrt{sec^2 \theta-1}\\ \Rightarrow  \frac{1}{cot\ \theta} =\sqrt{sec^2 \theta-1}\\ \Rightarrow \boxed{cot\ \theta =  \frac{1}{\sqrt{sec^2 \theta-1}} }
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2015-03-23T22:40:38+05:30

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Cot theta=1/tan theta
tan theta=√sec²theta-1
cot theta=1/√sec²theta-1
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