Write expression in terms of sine and cosine, and simplify so that no quotients appear in final expression.

Dan Tenenbaum asked Apr 19, 2023

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Dan Tenenbaum asked Apr 19, 2023

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17 votes

Use the identity

$1+\tan ^2x=\sec ^2x$

Then the expression becomes

$(\sec^2x)/(\sec x)=\sec x$

Now, sec x is the reciprocal of cos x.

$(1+\tan^2x)/(\sec x)=(1)/(\cos x)$

Marcel James answered Apr 26, 2023

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