How to Find Sin 120 Degrees Without a Calculator
Introduction & Importance
Finding the sine of an angle is a fundamental trigonometric operation. In this guide, we’ll show you how to find sin 120 degrees without using a calculator.
How to Use This Calculator
- Enter the angle in degrees (e.g., 120).
- Click the “Calculate” button.
- View the result and chart below.
Formula & Methodology
The sine of 120 degrees can be found using the unit circle or trigonometric identities. We’ll use the identity sin(α + β) = sin(α)cos(β) + cos(α)sin(β).
Real-World Examples
Example 1
Find sin 120° using the unit circle and special angles.
Data & Statistics
| Angle (degrees) | Sine |
|---|---|
| 30 | 0.5 |
| 45 | 0.707 |
| 60 | 0.866 |
Expert Tips
- Use a calculator for complex or large angles.
- Memorize special angles for quick reference.
Interactive FAQ
What is the sine of 120 degrees?
The sine of 120 degrees is approximately 0.866.