📐 Inverse Sine (Arcsin) Calculator
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📌 Understanding Inverse Sine (Arcsin) Calculation
The inverse sine function, also known as arcsin, finds the angle whose sine is the given value. The formula is:
- θ = arcsin(x)
- Where x is a value between -1 and 1.
📌 Example Calculations
| sin(θ) | θ (Degrees) |
|---|---|
| -1 | -90° |
| -0.5 | -30° |
| 0 | 0° |
| 0.5 | 30° |
| 1 | 90° |
🔧 Practical Applications of Inverse Sine Function
1. Engineering & Physics: Used in angle measurements and wave mechanics.
2. Navigation & GPS: Helps in calculating latitudinal angles.
3. Signal Processing: Essential in analyzing oscillations and waveforms.
❓ FAQs
Q1: How do I calculate inverse sine?
✅ Use the formula θ = arcsin(x), where x is between -1 and 1.
Q2: What is the arcsin of 0.5?
✅ arcsin(0.5) = 30°
Q3: Can inverse sine be undefined?
✅ Yes, inverse sine is undefined for values outside the range [-1,1].
Q4: Where is inverse sine function commonly used?
✅ It is widely used in **engineering, physics, and trigonometry**.
Q5: Why is inverse sine function important?
✅ It helps in **finding angles from sine values in real-world applications**.