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Question #cf941

1 Answer

Aug 22, 2017

see below

Explanation:

Left Hand Side:
$\Rightarrow \frac{cot x}{csc x + 1} \cdot \frac{csc x - 1}{csc x - 1}$ $=>cot x/(csc x+1) * (cscx-1)/(cscx-1)$

$\Rightarrow \frac{cot x (csc x - 1)}{{csc}^{2} x - 1}$ $=>(cot x (cscx-1))/(csc^2x-1)$

$\Rightarrow \frac{cot x (csc x - 1)}{{cot}^{2} x}$ $=>(cot x (cscx-1))/cot^2x$ -Use the property $1 + {cot}^{2} x = {csc}^{2} x$ $1+cot^2x=csc^2x$

$=>(cancel(cot x )(cscx-1))/cot^cancel(2)x$

$=>(cscx-1)/cot x$

$:. =$ Right Hand Side

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