📐 Sine Calculator
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📌 Understanding Sine Calculation
The sine function calculates the ratio of the opposite side to the hypotenuse in a right-angled triangle. The formula is:
- sin(θ) = Opposite / Hypotenuse
- In terms of the unit circle, sin(θ) = y / r, where r = 1.
📌 Example Calculations
| Angle (Degrees) | sin(θ) |
|---|---|
| 0° | 0 |
| 30° | 0.5 |
| 45° | 0.7071 |
| 60° | 0.8660 |
| 90° | 1 |
🔧 Practical Applications of Sine Function
1. Engineering & Physics: Used in wave mechanics and oscillations.
2. Navigation & GPS: Helps in triangulation and positioning.
3. Architecture & Construction: Essential in slope calculations and trigonometric designs.
❓ FAQs
Q1: How do I calculate sine?
✅ Use the formula sin(θ) = Opposite / Hypotenuse
Q2: What is the sine of 90°?
✅ sin(90°) = 1
Q3: Can sine be negative?
✅ Yes, in the third and fourth quadrants of the unit circle.
Q4: Where is sine function commonly used?
✅ It is widely used in **engineering, physics, and navigation**.
Q5: Why is sine function important?
✅ It helps in **solving real-world problems related to waves, angles, and periodic motion**.