document.write( "Question 1075983: Can somebody fill me in a bit on Euler’s formula?\r
\n" ); document.write( "\n" ); document.write( "e^(a + bi) = e^a*(cos b + i sin b) -- Euler's Formula.\r
\n" ); document.write( "\n" ); document.write( "His equation gives rise to e^(πi) + 1 = 0. \r
\n" ); document.write( "\n" ); document.write( "'0, 1,π , e, and i' Are all in one equation. \r
\n" ); document.write( "\n" ); document.write( "Could you explain how Euler’s formula could be applied to derive this equation? Thank you very much. \n" ); document.write( "

Algebra.Com's Answer #690679 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Just substitute a=0 and b=p, \r\n" );
document.write( "like I told you before.  Also notice that in your post\r\n" );
document.write( "you needed to put ^ to indicate exponents, not just\r\n" );
document.write( "write them next to the base, for that shows multiplication\r\n" );
document.write( "only, not exponentiation.  Also you must enclose the\r\n" );
document.write( "exponents in parentheses.\r\n" );
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document.write( "Now we use the facts that , , and :\r\n" );
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document.write( "Add 1 to both sides:\r\n" );
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document.write( "Edwin

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