document.write( "Question 549270: Prove that :\r
\n" ); document.write( "\n" ); document.write( "1. (cscA-1)/(cscA+1) = (1-sinA)/(1+sinA)
\n" ); document.write( "2. (secA/cscA)+(sinA/cosA) = 2tanA
\n" ); document.write( "3. (1+sinA)/(1-sinA) = (cscA+1)/(cscA-1)
\n" ); document.write( "4. sinA/(sinA-cosA) = 1/(1-cotA)
\n" ); document.write( "5. (tanA+cotA)/tanA = csc^2 A \n" ); document.write( "
Algebra.Com's Answer #357673 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Prove that :
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document.write( "1. \"%28cscA-1%29%2F%28cscA%2B1%29\" = \"%281-sinA%29%2F%281%2BsinA%29\"\r\n" );
document.write( "\r\n" );
document.write( "  \"%28cscA-1%29\"÷\"%28cscA%2B1%29\"\r\n" );
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document.write( "\"%28+1%2FsinA-1+%29\"÷\"%28+1%2FsinA%2B1%29\"\r\n" );
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document.write( "\"%28+1%2FsinA-sinA%2FsinA+%29\"÷\"%28+1%2FsinA%2BsinA%2FsinA%29\"\r\n" );
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document.write( "\"+%281-sinA%29%2FsinA+\"÷\"+%281%2BsinA%29%2FsinA\"\r\n" );
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document.write( "\"+%281-sinA%29%2FsinA+\"×\"+sinA%2F%281%2BsinA%29\"\r\n" );
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document.write( "\"+%281-sinA%29%2Fcross%28sinA%29+\"×\"+cross%28sinA%29%2F%281%2BsinA%29\"\r\n" );
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document.write( "\"%281-sinA%29%2F%281%2BsinA%29\"\r\n" );
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document.write( "2. \"%28secA%2FcscA%29\" + \"%28sinA%2FcosA%29\" = \"2tanA\"\r\n" );
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document.write( "   \"secA\"÷\"cscA\" + \"%28sinA%2FcosA%29\"\r\n" );
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document.write( "   \"1%2FcosA\"÷\"1%2FsinA%29\" + \"%28sinA%2FcosA%29\"\r\n" );
document.write( "    \r\n" );
document.write( "   \"1%2FcosA\"×\"sinA%2F1%29\" + \"%28sinA%2FcosA%29\"\r\n" );
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document.write( "   \"%28sinA%2FcosA%29\" + \"%28sinA%2FcosA%29\"\r\n" );
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document.write( "   \"tanA\" + \"tanA\"\r\n" );
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document.write( "   \"2tanA\"\r\n" );
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document.write( "3. \"%281%2BsinA%29%2F%281-sinA%29\" = \"%28cscA%2B1%29%2F%28cscA-1%29\"\r\n" );
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document.write( "You can do that one by substituting \"1%2FsinA\" for \"cscA\"\r\n" );
document.write( "It's similar to the first one.\r\n" );
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document.write( "4. \"sinA%2F%28sinA-cosA%29\" = \"1%2F%281-cotA%29\"\r\n" );
document.write( "                    = \"1\"÷\"1-cotA\"\r\n" );
document.write( "                    = \"1\"÷\"1-cosA%2FsinA\" \r\n" );
document.write( "                    = \"1\"÷\"sinA%2FsinA-cosA%2FsinA\"\r\n" );
document.write( "                    = \"1\"÷\"%28sinA-cosA%29%2FsinA\"\r\n" );
document.write( "                    = \"1\"×\"sinA%2F%28sinA-cosA%29\"                 \r\n" );
document.write( "                    = \"sinA%2F%28sinA-cosA%29\"\r\n" );
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document.write( "5. \"%28tanA%2BcotA%29%2FtanA\" = \"csc%5E2A\"\r\n" );
document.write( "   \"tanA%2FtanA%2BcotA%2FtanA\" \r\n" );
document.write( "   \"1%2BcotA%2FtanA\" \r\n" );
document.write( "   \"1\" + \"cotA%2FtanA\"\r\n" );
document.write( "   \"1\" + \"cotA\"÷\"tanA\"\r\n" );
document.write( "   \"1\" + \"cotA\"÷\"1%2FcotA\"\r\n" );
document.write( "   \"1\" + \"cotA\"×\"cotA%2F1\"\r\n" );
document.write( "   \"1\" + \"cotA\"×\"cotA\"  \r\n" );
document.write( "   \"1\" + \"cot%5E2A\"\r\n" );
document.write( "   \"csc%5E2A\"\r\n" );
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document.write( "Edwin
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