Sin Tan Cos Calculator in Degrees
This calculator computes the sine, tangent, and cosine of an angle in degrees. It's useful for trigonometry problems in geometry, physics, and engineering. The results are displayed with 4 decimal places for precision.
How to Use This Calculator
To calculate trigonometric values in degrees:
- Enter the angle in degrees in the input field
- Click the "Calculate" button
- View the sine, tangent, and cosine results
- Optionally view a chart visualization of the values
Note: The calculator automatically converts degrees to radians for the trigonometric calculations, then returns the results in decimal form.
Formulas Used
The calculator uses these standard trigonometric formulas:
sin(θ) = opposite/hypotenuse
tan(θ) = opposite/adjacent
cos(θ) = adjacent/hypotenuse
Where θ is the angle in degrees
The JavaScript implementation converts degrees to radians using the formula:
radians = degrees × (π / 180)
Worked Examples
Example 1: 30° Angle
For θ = 30°:
- sin(30°) = 0.5
- tan(30°) ≈ 0.577
- cos(30°) ≈ 0.866
Example 2: 45° Angle
For θ = 45°:
- sin(45°) ≈ 0.707
- tan(45°) = 1
- cos(45°) ≈ 0.707
Example 3: 90° Angle
For θ = 90°:
- sin(90°) = 1
- tan(90°) → undefined (infinity)
- cos(90°) = 0
Common Questions
| Question | Answer |
|---|---|
| What's the difference between sin, tan, and cos? | Sine relates opposite/hypotenuse, tangent relates opposite/adjacent, and cosine relates adjacent/hypotenuse in a right triangle. |
| Why do we need to convert degrees to radians? | Most programming languages and calculators use radians for trigonometric functions, so we convert degrees to radians for accurate calculations. |
| What happens when I enter 90°? | The tangent value becomes undefined (infinity) because the adjacent side length approaches zero in a right triangle. |
Frequently Asked Questions
- Can I use this calculator for angles over 360°?
- Yes, the calculator will work for any angle value, but results will repeat every 360° due to the periodic nature of trigonometric functions.
- How precise are the results?
- The calculator displays results with 4 decimal places, which is sufficient for most practical applications.
- Is there a mobile app version?
- Currently, this is a web-based calculator. We may develop a mobile app in the future.
- Can I save my calculations?
- No, this calculator doesn't store results. You can bookmark the page or use your browser's print function to save calculations.