Question

Find the valur of $\sf:\implies\:cot8\degree$​

Answer 1

Answer:

Value of Cot(8 degree) = 7.11536972

Answer 2

$\sf \purple{:\implies\:cot8\degree}$

$\sf \: \: \: = \: \: \: cot(45\degree - 8\degree)$

$\sf \: \: \: = \: \: \: \dfrac{cot45\degree \: cot37\degree \: + 1}{cot37\degree - cot45\degree}$

$\sf \: \: \: = \: \: \: \dfrac{1 \times \: cot37\degree \: + 1}{cot37\degree - 1}$

$\sf \: \: \: = \: \: \: \dfrac{ \: cot37\degree \: + 1}{ \: \: \: \: cot37\degree - 1 \: \: \: \: }$

$\sf \: \: \: = \: \: \: \dfrac{\dfrac{cos37\degree}{sin37\degree} + 1}{\dfrac{cos37\degree}{sin37\degree} - 1 }$

$\sf \: \: \: = \: \: \: \dfrac{\dfrac{cos37\degree + sin37\degree}{ \cancel{sin37\degree}}}{ \: \: \: \: \dfrac{cos37\degree - sin37\degree}{ \cancel{sin37\degree}} \: \: \: \: }$

$\sf \purple{\: \: \: = \: \: \: \dfrac{cos37\degree + sin37\degree}{cos37\degree - sin37\degree}}$