Evaluate 1/(tan(30))

$\frac{1}{\tan (30)}$

Rewrite $\tan (30)$ in terms of sines and cosines.

$\frac{1}{\frac{\sin (30)}{\cos (30)}}$

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (30)}{\cos (30)}$ .

$\frac{\cos (30)}{\sin (30)}$

Convert from $\frac{\cos (30)}{\sin (30)}$ to $\cot (30)$ .

$\cot (30)$

The exact value of $\cot (30)$ is $\sqrt{3}$ .

$\sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$

Evaluate 1/(tan(30))

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