Answer: [tex]\csc(\theta)[/tex]
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Work Shown:
[tex]\sin(\theta)+\cos(\theta)*\cot(\theta)\\\\\\\sin(\theta)+\cos(\theta)*\frac{\cos(\theta)}{\sin(\theta)}\\\\\\\sin(\theta)+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)}{\sin(\theta)}+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{1}{\sin(\theta)}\\\\\\\csc(\theta)\\\\\\[/tex]
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