Question

if cosA=√3/2 then the value of cot a is​

Answer 1

$\bf \underline \red{Answer : - }$

$\bf \: \: cos A = \frac{ \sqrt{3} }{2} = \frac{Adjecent \: \: side }{hypotenuse \: side} \\ \\ now \\ \sf \underline {need \: \: to \: \: find \: \: opposite \: \: side : } \\ \\ by \: \: Pythagoras \: \: Thereom : \: \: \: \\ \\ \bf \: opposite \: \: side \: \: = \sqrt{ {(hypotenuse \: \: side)}^{2} - {(Adjecent \: \: side)}^{2} } \\ \\ \bf \: opposite \: \: side \: \: = \sqrt{ {(2)}^{2} - { (\sqrt{3} })^{2} } \\ \\ \bf \: opposite \: \: side \: \: = \sqrt{4 - 3} \\ \\ \bf \: opposite \: \: side \: \: = 1 \\ \\ \bf \: cot \: A = \frac{Adjecent \: side}{opposite \: \: side} = \frac{ \sqrt{3} }{1} = \sqrt{3}$