tan 30°
√3/ 3
tan 30° can be expressed in different forms, such as as a fraction or decimal.
In fraction form, we can use trigonometric identities to simplify tan 30°:
tan 30° = sin 30° / cos 30°
Since sin 30° = 1/2 and cos 30° = √3/2, we have:
tan 30° = (1/2) / (√3/2)
Dividing the numerator and denominator by 1/2, we get:
tan 30° = 1 / √3
To rationalize the denominator, we multiply the numerator and denominator by √3:
tan 30° = (√3 / √3) / 3
tan 30° = √3 / 3
Therefore, the exact value of tan 30° in fraction form is √3 / 3.
In decimal form, we can use a calculator or math software to evaluate:
tan 30° ≈ 0.57735
Therefore, the approximate value of tan 30° in decimal form is 0.57735 (rounded to five decimal places).
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