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Trigonometry
Question

Write the following in terms of \( \sin \theta \) ...

Write the following in terms of \( \sin \theta \) and \( \cos \theta \) ; then simplify if possible. (Leave your answer in terms of \( \sin \theta \) and/or \( \cos \theta \) .) 

\( \csc \theta \cot \theta \) 

Answer

csc\(\theta \) = 1 / sin\(\theta \)         

cot\(\theta \) = cos\(\theta \) / sin\(\theta \)        

   

csc\(\theta \) cot\(\theta \)  = ( 1 / sin\(\theta \)) (cos\(\theta \) / sin\(\theta \)  )

                   = (cos\(\theta \) / sin\(^ { 2} \) \(\theta \))

Solution
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