Master Your Health: Understanding BMI
Body Mass Index (BMI) is a simple but powerful tool for assessing your health. Learn what your numbers mean and how to calculate them.
Feb 11, 2026
sin(θ) =
0.5
Common Angles
How to Use This Calculator
1
Enter Values
Fill in the required fields with your numbers.
2
Calculate
Click calculate or see results update in real time.
3
Read Results
View detailed breakdowns and explanations below.
📘 Definition
In a right triangle, sine is defined as:
sin(θ) = opposite / hypotenuse
On the unit circle, sin(θ) is the y-coordinate of the point at angle θ.
🎓 Key Values
- sin(0°) = 0
- sin(30°) = 1/2
- sin(45°) = √2/2 ≈ 0.707
- sin(60°) = √3/2 ≈ 0.866
- sin(90°) = 1
- sin(180°) = 0
- sin(270°) = -1
💡 Properties
- Periodic: sin(θ + 360°) = sin(θ)
- Odd Function: sin(-θ) = -sin(θ)
- Range: -1 ≤ sin(θ) ≤ 1
- Derivative: d/dθ[sin(θ)] = cos(θ)
🚀 Applications
- Wave Motion: Sound, light, and water waves
- Oscillations: Pendulums and springs
- AC Circuits: Alternating current and voltage
- Navigation: GPS and surveying
- Engineering: Structural analysis and mechanics
⚡ Pythagorean Identity
sin²(θ) + cos²(θ) = 1
This fundamental identity connects sine and cosine and is derived from the Pythagorean theorem.
Frequently Asked Questions
Popular Categories
Browse calculators by topic
From Our Blog
Related articles and insights
Percentages Made Easy: A Practical Guide
From discounts to tips, percentages are everywhere. Master the basics of percentage increase and decrease with this easy guide.
Feb 11, 2026
The Magic of Compound Interest
Albert Einstein reportedly called it the eighth wonder of the world. Discover how compound interest can grow your wealth exponentially over time.
Feb 11, 2026