document.write( "Question 813095: Find the set of values of x (in radians) for which tan(x) = sqrt(3), for x in [0, 2π] \n" ); document.write( "

Algebra.Com's Answer #489510 by erica65404(394) $\"\"$ $\"About$

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$\"tan%28x%29+=+sqrt%283%29\"$
\n" ); document.write( " $\"tan%2860%29+=+sqrt%283%29\"$
\n" ); document.write( "we know this because of the special 30-60-90 triangle the opposite of 30 is 1 and the side opposite of 30 is $\"sqrt%283%29\"$ . Therefore, $\"tan%2860%29=sqrt%283%29%2F1\"$
\n" ); document.write( " $\"30=pi%2F6\"$
\n" ); document.write( "Tan is positive in quadrant 1 and 3. so we know that $\"x+=+pi%2F6\"$ and $\"x=+7pi%2F6\"$ \n" ); document.write( "

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