document.write( "Question 1143527: Without using the calculator find
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Algebra.Com's Answer #765302 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This problem is very difficult.  I will only get it in terms of sin(20°).\r\n" );
document.write( "Then it will involve the solving the cubic equation for sin(3q), which can be done, although it's a pain in the butt.\r\n" );
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document.write( "Simplifying by multiplying each fraction by the LCD of each denominator:\r\n" );
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document.write( "Change all the cos(60°)'s to 1/2 and\r\n" );
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document.write( "Simplify by multiplying each numerator and denominator by 2, and sin(-20°) to -sin(20°)\r\n" );
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document.write( "Get all the denominators to 4sin(20°) so we can combine the numerators \r\n" );
document.write( "over the common denominator:\r\n" );
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document.write( "\"%285%5E%22%22-4sin%5E2%2820%5Eo%29-4cos%5E2%2840%5Eo%29%29%2F4sin%2820%5Eo%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"%281%5E%22%22%2B12sin%5E2%2820%5Eo%29-16sin%5E4%2820%5Eo%29%29%2F4sin%2820%5Eo%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "20° is not a special angle; however, 60° is, and 60° = 3∙20°.\r\n" );
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document.write( "So look up the formula for sin(3q) and solve for sin(q) \r\n" );
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document.write( "Edwin
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