## tan30

### √3/3

The value of tan30 is approximately 0.577.

To calculate this value, we can use the trigonometric identity:

tan(x) = sin(x) / cos(x)

First, we need to know the values of sin30 and cos30. We can use the following trigonometric ratios for a 30-60-90 triangle:

sin30 = 1/2

cos30 = √3 / 2

Substituting these values into the identity, we get:

tan30 = sin30 / cos30

= (1/2) / (√3 / 2)

= 1 / √3

= √3 / 3

To get a decimal approximation, we can use a calculator or long division:

tan30 = √3 / 3

= 1.732 / 3

= 0.577 (rounded to 3 decimal places)

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