document.write( "Question 593967: Evaluate Arctan (2cos30) \n" ); document.write( "

Algebra.Com's Answer #376558 by jsmallt9(3758) $\"\"$ $\"About$

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Arctan (2cos30)
\n" ); document.write( "Since cos(30) = $\"sqrt%283%29%2F2\"$ this becomes:
\n" ); document.write( " $\"Arctan+%282%28sqrt%283%29%2F2%29%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"Arctan+%28sqrt%283%29%29\"$
\n" ); document.write( "This represents the angle between -90 and 90 whose tan is $\"sqrt%283%29\"$ . The only angle between -90 and 90 whose tan is $\"sqrt%283%29\"$ is 60.
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