an easier way of finding the the McLaurin series for sec(2x)?

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I know there's another way besides taking the derivative over and over, something with 1/cos(2x)..

2007-04-26 11:11:44 · 3 answers · asked by math q 2 in Science & Mathematics ➔ Mathematics

james, please try to take the d/dx of sec(2x) 5 times, then tell me it's not so bad.

2007-04-26 12:30:49 · update #1

Well, if you know the series for cos(2x), just do long division. You will get the series for sec(2x). You won't get the general term though.

2007-04-26 11:15:05 · answer #1 · answered by mathematician 7 · 0⤊ 0⤋

Taking the derivative over and over really is not as bad as it seems because eventually you will see that there is a pattern.

2007-04-26 18:15:25 · answer #2 · answered by bruinfan 7 · 0⤊ 0⤋

Can you do someting with e^ix = cos(x) + isin(x)?

2007-04-26 18:41:02 · answer #3 · answered by welcome news 6 · 0⤊ 0⤋