tan 30°
0.577
The value of the tangent of 30 degrees is calculated by dividing the sine of 30 degrees by the cosine of 30 degrees.
We know that the sine of 30 degrees is 1/2 and the cosine of 30 degrees is √3/2.
Therefore, the tangent of 30 degrees can be calculated as:
tan 30° = sin 30° / cos 30°
tan 30° = (1/2) / (√3/2)
tan 30° = (1/2) x (2/√3)
tan 30° = 1 / √3
Thus, the value of tangent of 30 degrees is 1/√3. This value can be simplified further by rationalizing the denominator:
tan 30° = (1 / √3) x (√3 / √3)
tan 30° = √3 / 3
Therefore, the exact value of tan 30° is √3 / 3 or approximately 0.5774.
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