document.write( "Question 1075784: Use Euler's formula of e^(a + bi) = e^a(cos b + i sin b) to derive e^(πi) + 1 = 0. Please explain some of the steps in words. \n" ); document.write( "
Algebra.Com's Answer #690458 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"e%5E%28a+%2B+bi%29+=+e%5Ea%28cos%28b%29+%2B+i%2Asin%28b%29%29\"\r\n" );
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document.write( "Just substitute \"a=0\" and \"b=pi\"\r\n" );
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document.write( "\"e%5E%280+%2B+pi%2Ai%29+=+e%5E0%28cos%28pi%29+%2B+i%2Asin%28pi%29%29\"\r\n" );
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document.write( "\"e%5E%28pi%2Ai%29+=+1%28-1+%2B+i%2A%280%29%29\"\r\n" );
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document.write( "\"e%5E%28pi%2Ai%29+=+-1\"\r\n" );
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document.write( "\"e%5E%28pi%2Ai%29%2B1=0\"\r\n" );
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document.write( "Edwin
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