document.write( "Question 730564: If tan θ= -3 and cos θ<0, then tan θ/2=? \n" ); document.write( "
Algebra.Com's Answer #454041 by tommyt3rd(5050)\"\" \"About 
You can put this solution on YOUR website!
\"tan%28theta%29=opp%2Fadj=-3%2F1\"\r
\n" ); document.write( "\n" ); document.write( "so\r
\n" ); document.write( "\n" ); document.write( "\"hyp=sqrt%281%5E2%2B%28-3%29%5E2%29=sqrt%2810%29\"\r
\n" ); document.write( "\n" ); document.write( "so \r
\n" ); document.write( "\n" ); document.write( "\"sin%28theta%29=%283%2Asqrt%2810%29%29%2F10\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29=-sqrt%2810%29%2F10\" (we take the negative case because cosine is negative for this example)\r
\n" ); document.write( "\n" ); document.write( "now \r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%2F2%29=sin%28theta%29%2F%281%2Bcos%28theta%29%29\"\r
\n" ); document.write( "\n" ); document.write( "Therefore...\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%2F2%29=%28%283%2Asqrt%2810%29%29%2F10%29%2F%281-sqrt%2810%29%2F10%29\"\r
\n" ); document.write( "\n" ); document.write( "which simplifies to\r
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%2810%29%2B1%29%2F3\"
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