Question

Simplify sinΘ+cosΘcotΘ

Answer 1

Answer:
`\csc(\theta)`

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Work Shown:

`\sin(\theta)+\cos(\theta)*\cot(\theta)\\\\\\\sin(\theta)+\cos(\theta)*(\cos(\theta))/(\sin(\theta))\\\\\\\sin(\theta)+(\cos^2(\theta))/(\sin(\theta))\\\\\\(\sin^2(\theta))/(\sin(\theta))+(\cos^2(\theta))/(\sin(\theta))\\\\\\(\sin^2(\theta)+\cos^2(\theta))/(\sin(\theta))\\\\\\(1)/(\sin(\theta))\\\\\\\csc(\theta)\\\\\\`

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