# How come cos &#x2061;<!-- ⁡ --> x tan 2 </msup> &#x2061;<!-- ⁡ -->

How come $\mathrm{cos}x{\mathrm{tan}}^{2}\left(x\right)$ can be changed to $\mathrm{sec}x{\mathrm{sin}}^{2}\left(x\right)$ ? What are the steps?
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amanhantmk
$\mathrm{cos}\left(x\right)\cdot {\mathrm{tan}}^{2}\left(x\right)=\mathrm{cos}\left(x\right)\cdot \frac{si{n}^{2}\left(x\right)}{co{s}^{2}\left(x\right)}=\frac{si{n}^{2}\left(x\right)}{cos\left(x\right)}=sec\left(x\right)\cdot si{n}^{2}\left(x\right)$