Degrees to Radians Converter with Exact Trigonometric Values
🔄 Angle Converter
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📐 Standard Angles:
🎯 Unit Circle Visualization:
📊 Exact Values Table:
| Angle | Degrees | Radians | sin | cos | tan |
|---|
🔄 Degrees to Radians Converter with Trigonometric Values
Quickly convert angles between degrees and radians. Get exact trigonometric function values for standard angles. Perfect for studying trigonometry and solving mathematical problems.
🔍 Calculator Features:
- Angle conversion - degrees ↔ radians
- Trigonometric functions - sin, cos, tan, cot, sec, csc
- Exact values - for standard angles (0°, 30°, 45°, 60°, 90° etc.)
- Visualization - angle position on unit circle
📝 Conversion Formulas:
Degrees to radians:
radians = degrees × π/180
Radians to degrees:
degrees = radians × 180/π
Key relationships:
360° = 2π radians
180° = π radians
90° = π/2 radians
💡 Applications:
- Trigonometry and calculus problems
- Physics calculations (rotational motion)
- Engineering and navigation
- Computer graphics and animation
- Signal processing
Frequently Asked Questions
Why use radians instead of degrees?
Radians are the natural measure of angles in mathematics. Arc length equals radius times angle in radians, which simplifies many formulas.
How many radians are in a full circle?
A full circle contains 2π radians, which equals 360 degrees.
What are the exact sin and cos values for common angles?
0°: sin=0, cos=1; 30°: sin=1/2, cos=√3/2; 45°: sin=√2/2, cos=√2/2; 60°: sin=√3/2, cos=1/2; 90°: sin=1, cos=0
What are cotangent, secant, and cosecant?
cot = cos/sin (cotangent), sec = 1/cos (secant), csc = 1/sin (cosecant) - these are reciprocal trigonometric functions.
When is tangent undefined?
Tangent is undefined when cosine equals zero, which occurs at 90°, 270°, and other odd multiples of 90°.