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Verify the identity.
sin x/1-cos x = csc x + cot x​

Verify the identity. sin x/1-cos x = csc x + cot x​-example-1
User Astrogator
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Answer:

See below for proof

Explanation:


\displaystyle (\sin x)/(1-\cos x)=(\sin x(1+\cos x))/((1-\cos x)(1+\cos x))\\\\(\sin x)/(1-\cos x)=(\sin x(1+\cos x))/(1-\cos^2 x)\\\\(\sin x)/(1-\cos x)=(\sin x(1+\cos x))/(\sin^2 x)\\\\(\sin x)/(1-\cos x)=(1+\cos x)/(\sin x)\\\\(\sin x)/(1-\cos x)=(1)/(\sin x)+(\cos x)/(\sin x)\\\\(\sin x)/(1-\cos x)=\csc x+\cot x

User RobrechtVM
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