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(tan x +cot x)/tan x  = csc^2 x

 Nov 26, 2016
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Is this a proof?

 

(tan x +cot x)/tan x  = csc^2 x

 

\(\begin{align}\\ LHS&=(tanx+cotx)\div tanx\\ &=(\frac{sinx}{cosx}+\frac{cosx}{sinx})\times \frac{cosx}{sinx}\\ &=\frac{sin^2x+cos^2x}{sinxcosx}\times \frac{cosx}{sinx}\\ &=\frac{1}{sinx}\times \frac{1}{sinx}\\ &=\frac{1}{sin^2x}\\ &=csc^2x\\ &=RHS \end{align}\)

 Nov 26, 2016

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