document.write( "Question 1128175: prove (1/1+cosx)+(1/1-cosx)=2csc^2 \n" ); document.write( "
Algebra.Com's Answer #744660 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "prove \"1%2F%281%2Bcos%28x%29%29%2B1%2F%281-cos%28x%29%29=2csc%28x%29%5E2+\"\r
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\n" ); document.write( "\n" ); document.write( "start with left side\r
\n" ); document.write( "\n" ); document.write( "\"1%2F%281%2Bcos%28x%29%29%2B1%2F%281-cos%28x%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "=\"%281-cos%28x%29%2B1%2Bcos%28x%29%29%2F%28%281%2Bcos%28x%29%29%281-cos%28x%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%28%281%2Bcos%28x%29%29%281-cos%28x%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%281-cos%28x%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%281-%281-sin%28x%29%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%281-1%2Bsin%28x%29%5E2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%28sin%28x%29%5E2%29%29\"..........use identity \"sin%28x%29%5E2=1%2Fcsc%5E2%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2%2F%281%2Fcsc%5E2%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "=\"2csc%5E2%28x%29\"\r
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