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\cos(60)-\sqrt{3}\cot(30)
Use the property \cos(-x)=\cos(x).
\frac{1}{2}-\sqrt{3}\cot(30)
Get the value of \cos(60) from trigonometric values table.
\frac{1}{2}-\sqrt{3}\sqrt{3}
Get the value of \cot(30) from trigonometric values table.
\frac{1}{2}-3
Multiply \sqrt{3} and \sqrt{3} to get 3.
-\frac{5}{2}
Subtract 3 from \frac{1}{2} to get -\frac{5}{2}.