Question

The ratio of Tan 60°Cot 60° is

Answer 1

$\tan(60) = \sqrt{3}$

$\cot(60 ) = \frac{1}{ \sqrt{3} }$

$\frac{ \tan(60) }{ \cot(60) } = \frac{ \sqrt{3} }{ \frac{1}{ \sqrt{3} } } = \sqrt{3} \times \sqrt{3}$

$\frac{ \tan(60) }{ \cot(60) } = 3$

Ratio = 3:1

Answer 2

$\tt\:⟹ tan 60° : cot 60°$

• tan 60° = √3
• cot 60° = 1/√3

$\tt\:⟹ \sqrt{3} : \frac{1}{\sqrt{3}}$

$\tt\:⟹ 1$

$\boxed{∴tan \: 60° : cot \: 60° = 1}$