📐 Inverse Tangent (Arctan) Calculator
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📌 Understanding Inverse Tangent (Arctan) Calculation
The inverse tangent function, also known as arctan, finds the angle whose tangent is the given value. The formula is:
- θ = arctan(x)
- Where x is any real number.
📌 Example Calculations
| tan(θ) | θ (Degrees) |
|---|---|
| -1 | -45° |
| -0.5 | -26.57° |
| 0 | 0° |
| 0.5 | 26.57° |
| 1 | 45° |
🔧 Practical Applications of Inverse Tangent Function
1. Engineering & Physics: Used in calculating slopes and projectile motion.
2. Navigation & GPS: Helps in determining bearing angles.
3. Computer Graphics: Essential in 3D rendering and transformations.
❓ FAQs
Q1: How do I calculate inverse tangent?
✅ Use the formula θ = arctan(x), where x is any real number.
Q2: What is the arctan of 1?
✅ arctan(1) = 45°
Q3: Can inverse tangent be undefined?
✅ No, inverse tangent is defined for all real numbers.
Q4: Where is inverse tangent function commonly used?
✅ It is widely used in **engineering, physics, and computer science**.
Q5: Why is inverse tangent function important?
✅ It helps in **finding angles from tangent values in real-world applications**.