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How do you find cot pi/4 in terms of radians?

1 Answer

Mar 4, 2018

$cot (\frac{π}{4}) = 1$ $cot (pi/4) = 1$

Explanation:

By definition:

$cot (\frac{π}{4}) = \frac{cos (\frac{π}{4})}{sin (\frac{π}{4})}$ $cot (pi/4) = cos(pi/4) / sin(pi/4)$

Both sine and cosine of $\frac{π}{4}$ $pi/4$ are well known results, giving us:

$cot (\frac{π}{4}) = \frac{\frac{1}{2} \sqrt{2}}{\frac{1}{2} \sqrt{2}} = 1$ $cot (pi/4) = (1/2sqrt(2))/(1/2sqrt(2)) = 1$

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