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The definition of $\sec x$.What is the identity they are using to do this?
What??? What do you mean?The definition of $\sec x$.
Surely not...even if you re wrote it you would still have tan^3x/sec^3x
You can't. But you CAN write $\displaystyle \begin{align*} \frac{1}{\cos^3{(x)}} \end{align*}$ as $\displaystyle \begin{align*} \left[ \frac{1}{\cos{(x)}} \right] ^3 \end{align*}$.Oh I see now.. I didn't know you could rewrite cos^3x to 1/cosx