Tangent Decimal to Degrees Calculator
Introduction & Importance
Converting tangent decimals to degrees is crucial in trigonometry and geometry. It helps us understand and work with angles in a more intuitive way.
How to Use This Calculator
- Enter the tangent decimal value in the input field.
- Click the “Convert to Degrees” button.
- See the result below the calculator.
Formula & Methodology
The formula to convert tangent decimals to degrees is:
θ = arctan(t) * (180/π)
Real-World Examples
Example 1
If the tangent of an angle is 0.5, what is the angle in degrees?
θ = arctan(0.5) * (180/π) ≈ 26.565°
Example 2
If the tangent of an angle is 1.5, what is the angle in degrees?
θ = arctan(1.5) * (180/π) ≈ 56.234°
Example 3
If the tangent of an angle is -0.75, what is the angle in degrees?
θ = arctan(-0.75) * (180/π) ≈ -37.5°
Data & Statistics
| Tangent Decimal | Degrees |
|---|---|
| 0.5 | 26.565° |
| 1.5 | 56.234° |
| -0.75 | -37.5° |
| Degrees | Tangent Decimal |
|---|---|
| 30° | 0.5774 | 45° | 1 |
| 60° | 1.7321 |
Expert Tips
- Remember that the tangent function is periodic with a period of π radians (or 180 degrees).
- Be careful with negative values. The tangent function is odd, so -tan(θ) = tan(-θ).
Interactive FAQ
What is the range of the tangent function?
The range of the tangent function is all real numbers. It can take on any value.
What is the period of the tangent function?
The period of the tangent function is π radians (or 180 degrees).
What is the domain of the tangent function?
The domain of the tangent function is all real numbers except for odd multiples of π/2 (or 90 degrees).