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## Homework Statement

State the Maclaurin series for sinx and cosx. Hence derive the Maclaurin series for tanx.

## Homework Equations

sin(x) = x - x3/3! + x5/5! - x7/7!...

cos(x) = 1 - x2/2! + x4/4! - x6/6!...

## The Attempt at a Solution

I know you divide the series for sinx by the series for cosx. However, can you do polynomial long division to get the answer? I've only done long division with polynomials starting with the highest power, so I'm confused.