Can someone show me how the expansion is derived?

Thanks in advance.

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- June 18th 2008, 08:20 AMSimplicityMaclaurin Expansion
Can someone show me how the expansion is derived?

Thanks in advance. - June 18th 2008, 08:42 AMTheEmptySet

Now we use long division

Attachment 6857

The more terms we write out and use in the long division the more terms we get in the series of tangent. - June 18th 2008, 09:14 AMtopsquark