document.write( "Question 639116: If a+b = 90degree, Find max value of (sin a.sin b) \n" ); document.write( "
Algebra.Com's Answer #402578 by Edwin McCravy(20064)\"\" \"About 
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document.write( "a+b = 90°\r\n" );
document.write( "  b = 90°-a\r\n" );
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document.write( "sin(a)sin(b) = sin(a)sin(90°-a) = sin(a)cos(a)\r\n" );
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document.write( "We use the identity sin(2a) = 2sin(a)cos(a) by dividing both sides by 2\r\n" );
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document.write( "                    \"sin%282a%29%2F2\" = sin(a)cos(a)\r\n" );
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document.write( "So\r\n" );
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document.write( "sin(a)sin(b) = sin(a)sin(90°-a) = sin(a)cos(a) = \"sin%282a%29%2F2\"   \r\n" );
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document.write( "The maximum value of the sine function is 1\r\n" );
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document.write( "so the maximum value of \"sin%282a%29%2F2\" is \"1%2F2\"\r\n" );
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document.write( "Answer: \"1%2F2\"\r\n" );
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document.write( "Edwin
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