document.write( "Question 174439: 6. true or false: it is not possible to find the exact value of sin75? if fals efind exact value \n" ); document.write( "
Algebra.Com's Answer #129435 by jim_thompson5910(35256)\"\" \"About 
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False. It is possible to find the exact value of sin(75), and here's how:\r
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\n" ); document.write( "\n" ); document.write( "First, break up 75 into 45+30 (which are known angles on the unit circle)\r
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\n" ); document.write( "\n" ); document.write( "\"sin%2875%29=sin%2845%2B30%29\" \r
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\n" ); document.write( "\n" ); document.write( "Remember, \"sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29\"\r
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\n" ); document.write( "\n" ); document.write( "So this means that\r
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\n" ); document.write( "\n" ); document.write( "\"sin%2875%29=sin%2845%29cos%2830%29%2Bcos%2845%29sin%2830%29\"\r
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\n" ); document.write( "\n" ); document.write( "Evaluate each trig function (by use of the unit circle)\r
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\n" ); document.write( "\n" ); document.write( "\"sin%2875%29=%28sqrt%282%29%2F2%29%28sqrt%283%29%2F2%29%2B%28sqrt%282%29%2F2%29%281%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"sin%2875%29=sqrt%286%29%2F4%2Bsqrt%282%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"sin%2875%29=%28sqrt%286%29%2Bsqrt%282%29%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "So the exact value of sin(75) is \"%28sqrt%286%29%2Bsqrt%282%29%29%2F4\"
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