document.write( "Question 1208769: Prove that: 1/(cosec A - cot A) - 1/sin A = 1/sin A - 1/(cosec A + cot A) \n" ); document.write( "
Algebra.Com's Answer #847218 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Remember the Pythagorean identity:\r\n" );
document.write( "  \"1%2Bcot%5E2%28theta%29=csc%5E2%28theta%29\" or \"csc%5E2%28theta%29-cot%5E2%28theta%29=1\" \r\n" );
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document.write( "Work with the left side only for a while:\r\n" );
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document.write( "\"1%2F%28csc%28A%29+-+cot%28A%29%29+-+1%2Fsin%28A%29\"\"%22%22=%22%22\"\"+1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
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document.write( "\"%22%22=%22%22\"\"1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
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document.write( "\"%22%22=%22%22\"\"+1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28csc%5E%22%22%28A%29+%2B+cot%5E%22%22%28A%29%29%2F1%5E%22%22+-+csc%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"csc%5E%22%22%28A%29+%2B+cot%5E%22%22%28A%29+-+csc%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+1%2Fsin%28A%29+-+1%2F%28csc%28A%29+%2B+cot%28A%29%29\"\r\n" );
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document.write( "Now work with the right side only:\r\n" );
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document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+csc%5E%22%22%28A%29+-+%28csc%5E%22%22%28A%29+-+cot%5E%22%22%28A%29%5E%22%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+csc%5E%22%22%28A%29+-+csc%5E%22%22%28A%29+%2B+cot%5E%22%22%28A%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%5E%22%22%28A%29+\"\"%22%22=%22%22\"\"+cot%5E%22%22%28A%29\"\r\n" );
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document.write( "Edwin
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