document.write( "Question 1046129: find the exact value of TAN theta given that SIN of theta equals negative one half and theta is in quadrant three \n" ); document.write( "

Algebra.Com's Answer #661626 by josmiceli(19441) $\"\"$ $\"About$

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In the 3rd qudrant,
\n" ); document.write( "sin is negative ( -/+ )
\n" ); document.write( "cos is negative ( -/+ )
\n" ); document.write( "tan is positive ( -/- )
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+sin%28+theta+%29+=+-1%2F2+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+cos%28+theta+%29+=+-sqrt%28+1+-+sin%5E2%28+theta+%29+%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+tan%28+theta+%29+=+sin%28+theta+%29+%2F+cos%28+theta+%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+-sin%28+theta+%29+%2F+%28-sqrt%28+1+-+sin%5E2%28+theta+%29+%29%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+%28+-1%2F2%29+%2F+%28+-sqrt%28++1+-+1%2F4+%29+%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+%28+1%2F2+%29+%2F+sqrt%28+3%2F4+%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+%28+1%2F2+%29%2A%28+2%2Fsqrt%283%29+%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+1+%2F+sqrt%283%29+\"$
\n" ); document.write( "( note the tan in 3rd quadrant must be positive )\r
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