Question

The value of tan 60°/cot 30° is equal to: (a)0 (b)1 (c)2 (d)3

Answer 1

Given:

$\frac{\tan\left(60^\circ\right)}{\cot\left(30^\circ\right)}$

To find:

The value of $\frac{\tan\left(60^\circ\right)}{\cot\left(30^\circ\right)}$

Step-by-step explanation:

The values of the given ratios are found using the trigonometric table.

Therefore, $\tan\left(60^\circ\right)\;=\;\sqrt3$ and $\cot\left(30^\circ\right)\;=\;\sqrt3$

On substituting the values,

⇒ $\frac{\tan\left(60^\circ\right)}{\cot\left(30^\circ\right)}\;=\;\frac{\sqrt3}{\sqrt3}$

⇒ $\frac{\tan\left(60^\circ\right)}{\cot\left(30^\circ\right)}\;=\;1$

Answer:

Therefore, the value of $\frac{\tan\left(60^\circ\right)}{\cot\left(30^\circ\right)}\;=\;1$. Option (b) is the correct answer