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What is Cot(x) / cos(x) ?

1 Answer

3 votes

Answer:

cosecx

Explanation:


(cotx)/(cosx) \\ = (1)/(tanx) / cosx \\ = (1 / (sinx)/(cosx) ) / cosx \\ = (cosx)/(sinx) * (1)/(cosx) \\ = (1)/(sinx) \\ = cosecx

Note that:


tanx = (sinx)/(cosx)


cotx = (1)/(tanx) = (cosx)/(sinx)


cosecx = (1)/(sinx)

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