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Question from Gail, a student:

verify sec(x) =cot(x)+tan(x)/csc(x), the csc(x) is under both the whole term cot(x) + tan(x)

Hi Gail,

\[\sec(x) = \frac{\cot(x) + \tan(x)}{\csc(x)}.\]

Multiply each side by $\csc(x).$ Write everything in terms of $\sin(x)$ and $\cos(x).$ Simplify the right side.

Penny

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