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15-05-2018
Mathematics

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prove or disprove that (1)/(1-cot x) is the same as (sin x)/(sin x - cos x)

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15-05-2018

[tex]\dfrac{1}{1-\cot x}=\dfrac{\sin x}{\sin x-\cos x}\\\\L_s=\dfrac{1}{1-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x}{\sin x}-\dfrac{\cos x}{\sin x}}=\dfrac{1}{\dfrac{\sin x-\cos x}{\sin x}}=\dfrac{\sin x}{\sin x-\cos x}=R_s[/tex]

[tex]\text{Used:}\\\\\cot x=\dfrac{\cos x}{\sin x}[/tex]

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