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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