document.write( "Question 1066045: What is the exact value of tan θ if the terminal side of angle θ, in standard position, has a length of 6 and passes through the point (-2, -y)? \n" ); document.write( "

Algebra.Com's Answer #681212 by josmiceli(19441) $\"\"$ $\"About$

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Find the y-coordinate
\n" ); document.write( " $\"+%28-2%29%5E2+%2B+%28-y%29%5E2+=+6%5E2+\"$
\n" ); document.write( " $\"+%28-y%29%5E2+=+36+-+4+\"$
\n" ); document.write( " $\"+y%5E2+=+32+\"$
\n" ); document.write( " $\"+y+=+4%2Asqrt%282%29++\"$
\n" ); document.write( "------------------------
\n" ); document.write( "I'm a little confused by the $\"+-y+\"$ . Maybe
\n" ); document.write( "they are saying that the y-coordinate is
\n" ); document.write( "negative. If so:
\n" ); document.write( " $\"+tan%28+theta+%29+=+%28-4%2Asqrt%282%29+%29+%2F+%28-2%29+\"$
\n" ); document.write( " $\"+tan%28+theta+%29+=+2%2Asqrt%282%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "If $\"+y+\"$ can be either positive or
\n" ); document.write( "negative, then $\"+tan%28+theta+%29+\"$ can be
\n" ); document.write( "either positive or negative.\r
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