Sin Cos Tan Calculator in Degrees

This calculator computes the sine, cosine, and tangent of an angle in degrees. It's perfect 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 immediately display the sine, cosine, and tangent values. You can also use the chart to visualize the trigonometric functions.

Note: The calculator uses the standard trigonometric functions from JavaScript's Math library, which are accurate to approximately 15 decimal places.

Formula Explained

The trigonometric functions are calculated using the following formulas:

sin(θ) = opposite/hypotenuse

cos(θ) = adjacent/hypotenuse

tan(θ) = opposite/adjacent

Where θ is the angle in degrees.

The calculator converts the angle from degrees to radians before applying the JavaScript Math functions, as these functions work with radians by default.

Worked Examples

Example 1: 30 Degrees

For θ = 30°:

sin(30°) = 0.5
cos(30°) = 0.8660
tan(30°) = 0.5774

Example 2: 45 Degrees

For θ = 45°:

sin(45°) = 0.7071
cos(45°) = 0.7071
tan(45°) = 1.0000

Example 3: 90 Degrees

For θ = 90°:

sin(90°) = 1.0000
cos(90°) = 0.0000
tan(90°) = undefined (infinity)

Common Questions

Q: What is the difference between degrees and radians?

A: Degrees are a unit of angle measurement where a full circle is 360°. Radians are another unit where a full circle is 2π radians. The calculator converts degrees to radians internally for accurate computation.

Q: Why does tan(90°) show as infinity?

A: The tangent function is defined as sin(θ)/cos(θ). At 90°, cos(90°) is 0, making the division undefined, which JavaScript represents as Infinity.

Q: How precise are the results?

A: The calculator displays results with 4 decimal places, but the internal computation uses JavaScript's native precision (approximately 15 decimal places).