Sine Cosine Tangent Calculator Degrees

This calculator computes the sine, cosine, and tangent of an angle in degrees. It's useful for solving trigonometric problems in geometry, physics, and engineering. The results are displayed with 4 decimal places for precision.

How to Use This Calculator

Enter an angle in degrees in the input field. The calculator will automatically compute the sine, cosine, and tangent values. You can also use the buttons to quickly enter common angles like 0°, 30°, 45°, 60°, and 90°.

The results are displayed in a clear format with explanations. A chart visualization shows the relationship between the angle and its trigonometric values.

Formula

The trigonometric functions are calculated using the following formulas:

Sine: sin(θ) = opposite/hypotenuse

Cosine: cos(θ) = adjacent/hypotenuse

Tangent: tan(θ) = opposite/adjacent = sin(θ)/cos(θ)

Where θ is the angle in degrees. The calculator converts degrees to radians internally for the JavaScript Math functions.

Examples

Example 1: 30° Angle

For θ = 30°:

sin(30°) = 0.5
cos(30°) = 0.866
tan(30°) = 0.577

Example 2: 45° Angle

For θ = 45°:

sin(45°) ≈ 0.707
cos(45°) ≈ 0.707
tan(45°) = 1

FAQ

Can I use this calculator for angles greater than 360°?

Yes, the calculator accepts any angle value, but trigonometric functions are periodic with a period of 360°, so results will repeat every 360°.

What happens when I enter 90°?

At 90°, the cosine value becomes 0, making the tangent value undefined (infinity). The calculator will display "undefined" for tan(90°).

How precise are the results?

The results are displayed with 4 decimal places, which is sufficient for most practical applications. For higher precision, you may need specialized scientific calculators.