Sin Cos Tan Calculator Degrees

This trigonometry calculator computes sine, cosine, and tangent values for any angle in degrees. It's perfect for students, engineers, and anyone needing precise trigonometric calculations.

How to Use This Calculator

Using our sin cos tan calculator degrees is simple:

Enter the angle in degrees in the input field
Click the "Calculate" button
View the sine, cosine, and tangent values
Optionally view the trigonometric chart

The calculator will display all three trigonometric functions for your input angle. The results are shown with 4 decimal places for precision.

Formula Explained

The calculator uses standard trigonometric functions:

sin(θ) = opposite/hypotenuse

cos(θ) = adjacent/hypotenuse

tan(θ) = opposite/adjacent

Where θ is the angle in degrees

These ratios are calculated using the unit circle and right triangle definitions of trigonometric functions.

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)

Frequently Asked Questions

What is the difference between degrees and radians?

Degrees are a common unit for angles in everyday use, while radians are used in more advanced mathematics. 1 radian ≈ 57.2958 degrees.

Why does tan(90°) show as undefined?

The tangent function approaches infinity as the angle approaches 90 degrees, which is why it's considered undefined at exactly 90°.

Can I use negative angles with this calculator?

Yes, the calculator accepts negative angles and will compute the trigonometric values correctly.

What are the common angles in trigonometry?

Common angles include 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360°. These angles have exact values that don't require approximation.