document.write( "Question 960989: Let \"+g%28x%29+=+%28x%29+sqrt%2864x%5E2%2B25%29+\" and \"+h%28t%29=%285%2F8%29cot%28t%29+\" for \"+0%3Ct%3Cpi%2F2+\" find g(h(t)), simplify and write the answer in terms of sin(t) and cos(t)\r
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Algebra.Com's Answer #587301 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"+g%28x%29+=+%28x%29+sqrt%2864x%5E2%2B25%29+\" and \"+h%28t%29=%285%2F8%29cot%28t%29+\"
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document.write( "\"+g%28h%28x%29%5E%22%22%29\"\"%22%22=%22%22\"\"%22%22=%22%22\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"%22%22=%22%22\"\"%22%22=%22%22\"\"expr%285%2F8%29%5E%22%22cot%28t%29%2Asqrt%2825cot%5E2%28t%29%2B25%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"expr%285%2F8%29%5E%22%22cot%28t%29+sqrt%2825%28cot%5E2%28t%29%2B1%29%29+\"\"%22%22=%22%22\"\"expr%285%2F8%29%5E%22%22cot%28t%29%2A5%2Asqrt%28cot%5E2%28t%29%2B1%29+\"\"%22%22=%22%22\"\"expr%2825%2F8%29%5E%22%22cot%28t%29%2Asqrt%28cot%5E2%28t%29%2B1%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "There is an identity \"1%2Bcot%5E2%28theta%29=csc%5E2%28theta%29\"\r\n" );
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document.write( "\"expr%2825%2F8%29%5E%22%22cot%28t%29%2Asqrt%28csc%5E2%28t%29%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"expr%2825%2F8%29%5E%22%22cot%28t%29%2Aabs%28csc%28t%29%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "Since t is in the first quadrant we can eliminate the absolute value:\r\n" );
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document.write( "\"expr%2825%2F8%29%5E%22%22cot%28t%29%2Acsc%28t%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "Use identities \"cot%28theta%29=cos%28theta%29%2Fsin%28theta%29\" and \"csc%28theta%29=1%2Fsin%28theta%29\"\r\n" );
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document.write( "\"expr%2825%2F8%29expr%28cos%28t%29%2Fsin%28t%29%29%2Aexpr%281%2Fsin%28t%29%29+\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"25cos%28t%29%2F8sin%5E2%28t%29\"\r\n" );
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document.write( "Edwin
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