document.write( "Question 195863: Solve for x in the equation 2sin xtan x + tan x - 2sin x - 1 = 0 for 0 = x =2π \n" ); document.write( "
Algebra.Com's Answer #146868 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Solve for x in the equation \"2sin%28x%29tan%28x%29+%2B+tan%28x%29+-+2sin%28x%29+-+1+=+0\" \r
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document.write( "\"2sin%28x%29tan%28x%29+%2B+tan%28x%29+-+2sin%28x%29+-+1+=+0\"\r\n" );
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document.write( "Factor \"tan%28x%29\" out of the first two terms on the left:\r\n" );
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document.write( "\"tan%28x%29%282sin%28x%29+%2B+1%29+-+2sin%28x%29+-+1+=+0\"\r\n" );
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document.write( "Factor \"-1\" out of the last two terms on the left:\r\n" );
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document.write( "\"tan%28x%29%282sin%28x%29+%2B+1%29-1%282sin%28x%29+%2B+1%29+=+0\"\r\n" );
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document.write( "Factor \"%282sin%28x%29%2B1%29\" out of the left side:\r\n" );
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document.write( "\"%282sin%28x%29%2B1%29%28tan%28x%29-1%29+=+0\"\r\n" );
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document.write( "Set each factor = 0\r\n" );
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document.write( "\"2sin%28x%29%2B1=0%29\"        |\"tan%28x%29-1+=+0\"\r\n" );
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document.write( "\"2sin%28x%29=-1\"         |\"tan%28x%29+=+1\"\r\n" );
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document.write( "\"sin%28x%29+=+-1%2F2\"         |\"x+=pi%2F4\", \"x+=+5pi%2F4\"\r\n" );
document.write( " \r\n" );
document.write( "\"x=7pi%2F6\", \"x=11pi%2F6\"\r\n" );
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document.write( "Solutions, smallest to largest:\r\n" );
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document.write( "\"pi%2F4\", \"7pi%2F6\", \"5pi%2F4\", \"11pi%2F6\" \r\n" );
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document.write( "Edwin
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