document.write( "Question 881003: Can you find the exact value: 3cos(-pi/6) + cot(tan-1 square root 3) \n" ); document.write( "

Algebra.Com's Answer #531870 by KMST(5328) $\"\"$ $\"About$

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The exact values of the trigonometric functions of $\"%220%22\"$ , $\"pi%2F6\"$ , $\"pi%2F4\"$ , $\"pi%2F3\"$ , and $\"pi%2F2\"$ are well known.
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\n" ); document.write( " $\"cos%28pi%2F6%29=sqrt%283%29%2F2\"$
\n" ); document.write( " $\"tan%28pi%2F3%29=sqrt%283%29\"$
\n" ); document.write( "In this problem, $\"tan%5E%28-1%29%28sqrt%283%29%29\"$ means the inverse tangent function, the angle whose tangent is $\"sqrt%283%29\"$ ,
\n" ); document.write( "which happens to be $\"pi%2F3\"$ ,
\n" ); document.write( "but the cotangent of any angle is the reciprocal of the tangent (if they both exist), so we know that
\n" ); document.write( " $\"cot%28tan%5E%28-1%29%28sqrt%283%29%29%29=1%2Fsqrt%283%29=sqrt%283%29%2F3\"$ ,
\n" ); document.write( "just as we also knew that $\"cot%28pi%2F3%29=sqrt%283%29%2F3\"$
\n" ); document.write( "Putting it all together,
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