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.
More Answers:
Discover the Exact Value of tan 60°: Step-by-Step Guide with Unit Circle and Right Triangle Explanation.Solve for Sin 60°: Explanation and Calculation Using Trigonometry
Understanding the Trigonometric Function Cosine 45 Degrees in a Right Triangle – A Comprehensive Explanation
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded