Question

Does anyone know how to do this

csc x ( sin x + cos x) = 1 + cot x ​

Answer 1

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Step-by-step explanation:

Use the identities ...

csc(x) = 1/sin(x)

cot(x) = cos(x)/sin(x)

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`\csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\(1)/(\sin(x))(\sin(x)+\cos(x))=1+\cot(x)\\\\(\sin(x))/(\sin(x))+(\cos(x))/(\sin(x))=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)`