📐 Inverse Cosine (Arccos) Calculator
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📌 Understanding Inverse Cosine (Arccos) Calculation
The inverse cosine function, also known as arccos, finds the angle whose cosine is the given value. The formula is:
- θ = arccos(x)
- Where x is a value between -1 and 1.
📌 Example Calculations
| cos(θ) | θ (Degrees) |
|---|---|
| -1 | 180° |
| -0.5 | 120° |
| 0 | 90° |
| 0.5 | 60° |
| 1 | 0° |
🔧 Practical Applications of Inverse Cosine Function
1. Engineering & Physics: Used in angle measurements and force analysis.
2. Navigation & GPS: Helps in determining directional angles.
3. Signal Processing: Essential in analyzing oscillations and waveforms.
❓ FAQs
Q1: How do I calculate inverse cosine?
✅ Use the formula θ = arccos(x), where x is between -1 and 1.
Q2: What is the arccos of 0.5?
✅ arccos(0.5) = 60°
Q3: Can inverse cosine be undefined?
✅ Yes, inverse cosine is undefined for values outside the range [-1,1].
Q4: Where is inverse cosine function commonly used?
✅ It is widely used in **engineering, physics, and trigonometry**.
Q5: Why is inverse cosine function important?
✅ It helps in **finding angles from cosine values in real-world applications**.