Question

If $Cos\theta =\frac{\sqrt{3}}{2}$, then $Cot\theta =\sqrt{3}$
if true then enter $1$ and if false then enter $0$.

Answer 1

Given: $Cos\theta =\frac{\sqrt{3}}{2}$
$\theta ={30}^{\circ }$
Hence, $Sin\theta =Sin30=\frac{2^2-(\sqrt{3}{)}^2}{2}=\frac{1}{2}$

$Cot\theta =\frac{Cos\theta }{Sin\theta }$

$Cot30=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}=\sqrt{3}$