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Principle Of Mathematical Induction

Question

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Simplify the following:

$fraction numerator cos left parenthesis 2 straight pi minus straight theta right parenthesis space cos left parenthesis straight pi plus straight theta right parenthesis space cot open parentheses begin display style straight pi over 2 end style minus straight theta close parentheses over denominator sin open parentheses begin display style straight pi over 2 end style plus straight theta close parentheses space cos left parenthesis negative straight theta right parenthesis end fraction$

Solution

Solution not provided.
Ans. $negative tan space straight theta$

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