Prove the identity. Use algebra and basic trigonometric formulas to transform one side of the equation to look like the other side. Show the whole process, without skipping any steps, and explain what you are doing in each step. Work only one side of the equation. Use specific explanations, and not vague descriptions such as "Simplify."

\csc \theta =(\cot ^(2)\theta )/(\csc \theta +1)+1