📐 Cosine Calculator
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📌 Understanding Cosine Calculation
The cosine function calculates the ratio of the adjacent side to the hypotenuse in a right-angled triangle. The formula is:
- cos(θ) = Adjacent / Hypotenuse
- In terms of the unit circle, cos(θ) = x / r, where r = 1.
📌 Example Calculations
| Angle (Degrees) | cos(θ) |
|---|---|
| 0° | 1 |
| 30° | 0.8660 |
| 45° | 0.7071 |
| 60° | 0.5 |
| 90° | 0 |
🔧 Practical Applications of Cosine Function
1. Engineering & Physics: Used in force calculations and oscillations.
2. Navigation & GPS: Helps in direction calculations.
3. Architecture & Construction: Essential in structural angle calculations.
❓ FAQs
Q1: How do I calculate cosine?
✅ Use the formula cos(θ) = Adjacent / Hypotenuse
Q2: What is the cosine of 0°?
✅ cos(0°) = 1
Q3: Can cosine be negative?
✅ Yes, in the second and third quadrants of the unit circle.
Q4: Where is cosine function commonly used?
✅ It is widely used in **engineering, physics, and navigation**.
Q5: Why is cosine function important?
✅ It helps in **solving real-world problems related to forces, angles, and movement**.