What is the exact value of $cot (\frac{π}{2})$ $cot (pi/2)$ ?

Question

47908 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-17T01:25:50

$cot (\frac{π}{2}) = \frac{1}{tan (\frac{π}{2})} = \frac{1}{\infty} = 0$ $color(blue)(cot (pi/2) = 1 / tan (pi/2) = 1/ oo = 0$

enter image source here

As may be seen from the table above,
$cot (\frac{π}{2}) = \frac{1}{tan (\frac{π}{2})}$ $cot (pi/2) = 1 / tan (pi/2)$

But $tan (\frac{π}{2}) = \infty$ $tan (pi/2) = oo$

Hence $cot (\frac{π}{2}) = \frac{1}{tan (\frac{π}{2})} = \frac{1}{\infty} = 0$ $cot (pi/2) = 1 / tan (pi/2) = 1/ oo = 0$

What is the exact value of cot(π2)cot (pi/2)?