📐 Tangent Calculator
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📌 Understanding Tangent Calculation
The tangent function calculates the ratio of the opposite side to the adjacent side in a right-angled triangle. The formula is:
- tan(θ) = Opposite / Adjacent
- In terms of sine and cosine, tan(θ) = sin(θ) / cos(θ).
📌 Example Calculations
| Angle (Degrees) | tan(θ) |
|---|---|
| 0° | 0 |
| 30° | 0.5774 |
| 45° | 1 |
| 60° | 1.7321 |
| 90° | Undefined |
🔧 Practical Applications of Tangent Function
1. Engineering & Physics: Used in angle of elevation and projectile motion.
2. Navigation & GPS: Helps in determining direction and bearings.
3. Architecture & Surveying: Essential in slope and gradient calculations.
❓ FAQs
Q1: How do I calculate tangent?
✅ Use the formula tan(θ) = Opposite / Adjacent
Q2: What is the tangent of 45°?
✅ tan(45°) = 1
Q3: Can tangent be undefined?
✅ Yes, tangent is undefined at 90° and 270° because cos(θ) = 0 at these points.
Q4: Where is the tangent function commonly used?
✅ It is widely used in **engineering, physics, and navigation**.
Q5: Why is the tangent function important?
✅ It helps in **solving real-world problems related to slopes, angles, and periodic motion**.