document.write( "Question 974457: If α is an acute angle and 4tanα + 3cotα =7 , where α≠π/4 then the vlue of 2α is _______ .
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Algebra.Com's Answer #597220 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
f α is an acute angle and 4tanα + 3cotα =7 , where α≠π/4 then the vlue of 2α is _______ .
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document.write( "\"4tan%28alpha%29+%2B+3cot%28alpha%29+=7\"\r\n" );
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document.write( "Use \"cot%28theta%29=1%2Ftan%28theta%29\"\r\n" );
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document.write( "\"4tan%28alpha%29+%2B+3%281%2Ftan%28alpha%29%29+=7\"\r\n" );
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document.write( "Multiply through by \"tan%28alpha%29\"\r\n" );
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document.write( "\"4tan%5E2%28alpha%29+%2B+3+=7tan%28alpha%29\"\r\n" );
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document.write( "\"4tan%5E2%28alpha%29+-7tan%28alpha%29%2B3=0\"\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "\"%284tan%28alpha%29-3%29%28tan%28alpha%29-1%29=0\"\r\n" );
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document.write( "\"4tan%28alpha%29=3\";   \"tan%28alpha%29=1\"\r\n" );
document.write( "                  \"alpha=cross%28pi%2F4%29\"      \r\n" );
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document.write( "\"tan%28alpha%29=3%2F4\"\r\n" );
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document.write( "Draw a right triangle with opposite=3 and adjacent = 4, so\r\n" );
document.write( "a will have tangent 3/4. Use Pythagorean\r\n" );
document.write( "theorem to find hypotenuse 5.\r\n" );
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document.write( "\"sin%28alpha%29=3%2F5\", \"cos%28alpha%29=4%2F5\"\r\n" );
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document.write( "\"sin%282alpha%29=2sin%28alpha%29cos%28alpha%29\"\r\n" );
document.write( "\"sin%282alpha%29=2%283%2F5%29%284%2F5%29\"\r\n" );
document.write( "\"sin%282alpha%29=24%2F25\"\r\n" );
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document.write( "Correct answer is (d)\r\n" );
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document.write( "Edwin
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