document.write( "Question 1138364: Find two angles, one positive and one negative, that are coterminal with the given angle: 5pi/6 \n" ); document.write( "

Algebra.Com's Answer #756190 by KMST(5328) $\"\"$ $\"About$

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A full clockwise turn is $\"2pi\"$ , half a clockwise turn is $\"pi\"$ ,
\n" ); document.write( "and $\"5pi%2F6\"$ is a smaller clockwise turn than $\"pi\"$ .
\n" ); document.write( "Those are all positive angles because the are clockwise turns.
\n" ); document.write( "If we add one clockwise turn to $\"5pi%2F6\"$ we get
\n" ); document.write( " $\"2pi%2B5pi%2F6=%282%2B5%2F6%29pi=%2817%2F5%29pi=highlight%2817pi%2F5%29\"$ ,
\n" ); document.write( "which is a positive angle coterminal with $\"5pi%2F6\"$ .\r
\n" ); document.write( "\n" ); document.write( " $\"5pi%2F6\"$ is $\"pi-5pi%2F6=pi%2F6\"$ short of $\"pi\"$ .
\n" ); document.write( "Half a clockwise turn is $\"-pi\"$ ,
\n" ); document.write( "if we add a clockwise angle of $\"-pi%2F6\"$ to $\"-pi\"$ , we get
\n" ); document.write( " $\"-pi-pi%2F6=%28-1-1%2F6%29pi=%28-7%2F6%29pi=highlight%28-7pi%2F6%29\"$ , a negative angle coterminal with $\"5pi%2F6\"$ . \n" ); document.write( "

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