How do you evaluate the expression $cot (\frac{π}{3})$ $cot(pi/3)$ ?

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How do you evaluate the expression $cot (\frac{π}{3})$ $cot(pi/3)$ ?

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Answer 1 · 2016-10-09T14:05:20

$cot (\frac{π}{3}) = \frac{1}{\sqrt{3}}$ $cot(pi/3)=1/sqrt3$

Explanation:

$\frac{π}{3}$ $pi/3$ is 60 degrees.
Draw an equilateral triangle. Cut it in half. The angles are 30, 60,90
The ratio of the sides is 1: 2(the hypotenuse): $\sqrt{3}$ $sqrt3$ (from Pythagoras )

The cotangent ratio is $\frac{a d j a c e n t}{o p p o s i t e}$ $(adjacent)/(opposite$

Therefore cot 60 or $cot (\frac{π}{3}) = \frac{1}{\sqrt{3}}$ $cot( pi/3)=1/sqrt3$

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How do you evaluate the expression $cot (\frac{π}{3})$ $cot(pi/3)$ ?

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