document.write( "Question 1165239: values of trig functions
\n" ); document.write( "cot(-120) degrees
\n" ); document.write( "

Algebra.Com's Answer #789737 by Seutip(231)\"\" \"About 
You can put this solution on YOUR website!
Values of trig functions
\n" ); document.write( "\"cot%28-120%29+=+1%2Ftan%28-120%29\"
\n" ); document.write( "\"cot%28-120%29=1%2Ftan%28-120%2B360%29\" when you add 360 its ok and will produce same value because it just means one circle, or one revolution
\n" ); document.write( "\"cot%28-120%29=1%2Ftan%28240%29\"
\n" ); document.write( "We all know that
\n" ); document.write( "tan 240° = tan (180°+60°)
\n" ); document.write( "And tan(180)=0 leaving us with tan(60°)
\n" ); document.write( "And we all know that the value for tan(60) is = √3
\n" ); document.write( "∴tan 240°=√3
\n" ); document.write( "\"cot%28-120%29=1%2Ftan%28240%29\"
\n" ); document.write( "cot(-120)=(1/√3)
\n" ); document.write( "cot(-120)=(1/√3)(√3/√3) we multiply √3/√3 to rationalize\r
\n" ); document.write( "\n" ); document.write( "Therefore:
\n" ); document.write( "cot(-120)=(√3/3) \r
\n" ); document.write( "\n" ); document.write( "Hope that helps.
\n" ); document.write( "
\n" );