document.write( "Question 1205832: find sin theta and cos theta if cot theta =7/5 and sec theta <0 \n" ); document.write( "
Algebra.Com's Answer #842887 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "find \"sin+%28theta%29\" and \"cos%28+theta+%29\" if \"cot%28+theta+%29=7%2F5+\"and \"sec%28+theta%29+%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"cot%28+theta+%29=cos%28+theta+%29%2Fsin+%28theta%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28+theta+%29%2Fsin+%28theta%29=7%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"%28+b%2Fc+%29%2F+%28a%2Fc%29=7%2F5\"\r
\n" ); document.write( "\n" ); document.write( " \"b%2Fa+=7%2F5\" => \"a=5\",\"+b=7\"\r
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\n" ); document.write( "\n" ); document.write( "c^2=a^2+b^2\r
\n" ); document.write( "\n" ); document.write( "\"c=sqrt%285%5E2%2B7%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=sqrt%2874%29\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"c=-sqrt%2874%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin+%28theta%29=5%2Fsqrt%2874%29\" or\"+sin+%28theta%29=-5%2Fsqrt%2874%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28+theta+%29=7%2Fsqrt%2874%29\" or \"cos+%28theta%29=-7%2Fsqrt%2874%29+\"\r
\n" ); document.write( "\n" ); document.write( "since given\r
\n" ); document.write( "\n" ); document.write( "\"cot%28+theta+%29%3E0\" and \"sec%28theta%29%3C0+\", we use negative value for \"+sin+%28theta%29\" and \"cos%28theta%29+\"\r
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\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( "\"sin+%28theta%29=-5%2Fsqrt%2874%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"cos+%28theta%29=-7%2Fsqrt%2874%29+\"\r
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