document.write( "Question 732084: (sin^2θ -tanθ)/(cos^2θ-cotθ) = tan^2θ \n" ); document.write( "
Algebra.Com's Answer #447516 by Edwin McCravy(20060)\"\" \"About 
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document.write( "\"%28sin%5E2%28theta%29-tan%28theta%29%29%2F%28cos%5E2%28theta%29-cot%28theta%29%29\" = tanē(q)\r\n" );
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document.write( "In the left side:\r\n" );
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document.write( "Replace tan(q) with \"sin%28theta%29%2Fcos%28theta%29\"\r\n" );
document.write( "and\r\n" );
document.write( "Replace cot(q) with \"cos%28theta%29%2Fsin%28theta%29\"\r\n" );
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document.write( "Write as a division:\r\n" );
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document.write( "\"%28sin%5E2%28theta%29-sin%28theta%29%2Fcos%28theta%29%29\"\"%22%F7%22\"\"%28cos%5E2%28theta%29-cos%28theta%29%2Fsin%28theta%29%29\"\r\n" );
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document.write( "Get a common denominator in each:\r\n" );
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document.write( "\"%28sin%5E2%28theta%29cos%28theta%29%2Fcos%28theta%29-sin%28theta%29%2Fcos%28theta%29%29\"\"%22%F7%22\"\"%28cos%5E2%28theta%29sin%28theta%29%2Fsin%28theta%29-cos%28theta%29%2Fsin%28theta%29%29\"\r\n" );
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document.write( "\"%28sin%5E2%28theta%29cos%28theta%29-sin%28theta%29%29%2Fcos%28theta%29\"\"%22%F7%22\"\"%28cos%5E2%28theta%29sin%28theta%29-cos%28theta%29%29%2Fsin%28theta%29\"\r\n" );
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document.write( "Invert the second fraction and change division to multiplication:\r\n" );
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document.write( "\"%28sin%5E2%28theta%29cos%28theta%29-sin%28theta%29%29%2Fcos%28theta%29\"\"%22%22%2A%22%22\"\"sin%28theta%29%2F%28cos%5E2%28theta%29sin%28theta%29-cos%28theta%29%29\"\r\n" );
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document.write( "Factor sin(q)out of left numerator\r\n" );
document.write( "and factor cos(q) out of right denominator:\r\n" );
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document.write( "\"sin%28theta%29%28sin%28theta%29cos%28theta%29-1%29%2Fcos%28theta%29\"\"%22%22%2A%22%22\"\"sin%28theta%29%2F%0D%0A%28cos%28theta%29%28cos%28theta%29sin%28theta%29-1%29%29\"\r\n" );
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document.write( "The two expressions in parentheses will cancel:\r\n" );
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document.write( "\"sin%28theta%29%28cross%28sin%28theta%29cos%28theta%29-1%29%29%2Fcos%28theta%29\"\"%22%22%2A%22%22\"\"sin%28theta%29%2F%0D%0A%28cos%28theta%29%28cross%28cos%28theta%29sin%28theta%29-1%29%29%29\"\r\n" );
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document.write( "\"%28sin%28theta%29%2Asin%28theta%29%29%2F%28cos%28theta%29%2Acos%28theta%29%29\"\r\n" );
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document.write( "\"sin%5E2%28theta%29%2Fcos%5E2%28theta%29\"\r\n" );
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document.write( "\"%28sin%28theta%29%2Fcos%28theta%29%29%5E2\"\r\n" );
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document.write( "tanē(q)\r\n" );
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document.write( "Edwin
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