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Can sec^2 be re-written as 2sec?

Writer Olivia Zamora
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I have forgotten if it can or cannot. Please help me remember! my attempt

So I've got equation f(x)=tan x/4 on interval (0,2pi) and I found its' 2nd derivative f"(x)=sec^2(x/4)tan(x/4)/8. I'm wondering if sec^2 can be re-written as 2sec to make it easier to solve for x when i equal it to 0.

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1 Answer

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$$\sec^2(x)=\frac{1}{\cos^2(x)}\ne\frac{2}{\cos(x)}$$

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