Question

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

Answer 1

`(1)/(1-\cot x)=(\sin x)/(\sin x-\cos x)\\\\L_s=(1)/(1-(\cos x)/(\sin x))=(1)/((\sin x)/(\sin x)-(\cos x)/(\sin x))=(1)/((\sin x-\cos x)/(\sin x))=(\sin x)/(\sin x-\cos x)=R_s`


`\text{Used:}\\\\\cot x=(\cos x)/(\sin x)`