document.write( "Question 1034092: Find tan t given that sin t=3/5 and cot t < 0 \n" ); document.write( "

Algebra.Com's Answer #648705 by josmiceli(19441) $\"\"$ $\"About$

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Thinking just about signs, it is given that
\n" ); document.write( "sin(t) is positive and cot(t) is negative.
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\n" ); document.write( "The sin function is positive in the
\n" ); document.write( "1st and 2nd quadrants
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\n" ); document.write( "The cot function is negative in the
\n" ); document.write( "2nd and 4th quadrants
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\n" ); document.write( " $\"+t+\"$ must be an angle in the 2nd
\n" ); document.write( "quadrant
\n" ); document.write( "The horizontal component is $\"+4+\"$
\n" ); document.write( "since $\"+5%5E2+-+3%5E2+=+4%5E2+\"$
\n" ); document.write( "--------------------
\n" ); document.write( " $\"+tan%28t%29+=+-3%2F4+\"$ \n" ); document.write( "

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