document.write( "Question 1131925: If A, B, C are angles of a triangle, prove that
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Algebra.Com's Answer #748660 by MathLover1(20850)\"\" \"About 
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As \"A\",\"B\" and \"C\" are angles of a triangle, we have \"A%2BB%2BC=180\" \r
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\n" ); document.write( "\n" ); document.write( "\"A%2BB=180-C\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28A%2BB%29%2F2=90-C%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "Hence \r
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\n" ); document.write( "\n" ); document.write( "\"cos%28A%29%2Bcos%28B%29%2Bcos%28C%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2cos%28A%2BB%29%2F2%29%2Acos%28A-B%29%2F2%29+%2B1-2sin%5E2%28C%2F2%29-1\".......since \"%28A%2BB%29%2F2=90-C%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2cos%2890-C%2F2%29%2Acos%28%28A-B%29%2F2%29%2B1+-2sin%5E2%28C%2F2%29\"...since \"cos%2890-C%2F2%29=sin%28C%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2sin%28C%2F2%29%2Acos%28%28A-B%29%2F2%29%2B1+-2sin%5E2%28C%2F2%29\"......factor\r
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\n" ); document.write( "\n" ); document.write( "=\"2sin%28C%2F2%29%28cos%28%28A-B%29%2F2%29-sin%28C%2F2%29%29%2B1\" ........from \"sin%28%28A%2BB%29%2F2%29=sine%2890-C%2F2%29\"=>\"sine%28%28A%2BB%29%2F2%29=sin%28C%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2sin%28C%2F2%29%28cos%28%28A-B%29%2F2%29-sin%28%28A%2BB%29%2F2%29%29%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2sin%28C%2F2%29%282sin%28A%2F2%29%2Asin%28B%2F2%29%29%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "=\"1%2B4sin%28A%2F2%29%2Asin%28B%2F2%29sin%28C%2F2%29\"\r
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