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Trig Calculator in Degrees

Reviewed by Calculator Editorial Team

This trigonometry calculator computes sine, cosine, tangent, and other trigonometric functions for angles measured in degrees. It's perfect for students, engineers, and anyone working with angles in real-world applications.

How to Use This Calculator

Using the trig calculator in degrees is simple:

  1. Enter the angle in degrees in the input field
  2. Select the trigonometric function you want to calculate (sine, cosine, tangent, etc.)
  3. Click "Calculate" to see the result
  4. View the detailed result and chart visualization

The calculator will display the result with up to 6 decimal places for precision. You can also see a visual representation of the trigonometric function on the chart.

Trigonometric Formulas

The basic trigonometric functions are defined as ratios of sides in a right triangle:

sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent

For angles measured in degrees, we use the same definitions but with degree measurements. The calculator uses these formulas to compute the values for any given angle in degrees.

Additional Trigonometric Functions

The calculator also provides these derived functions:

csc(θ) = 1/sin(θ)
sec(θ) = 1/cos(θ)
cot(θ) = 1/tan(θ)

Worked Examples

Example 1: Calculating sin(30°)

For a 30° angle in a right triangle:

  • Opposite side = 1
  • Hypotenuse = 2

Using the formula sin(θ) = opposite/hypotenuse:

sin(30°) = 1/2 = 0.5

Example 2: Calculating tan(45°)

For a 45° angle in a right triangle:

  • Opposite side = 1
  • Adjacent side = 1

Using the formula tan(θ) = opposite/adjacent:

tan(45°) = 1/1 = 1

Frequently Asked Questions

What is the difference between degrees and radians?
Degrees and radians are two different units for measuring angles. A full circle is 360 degrees or 2π radians. The trigonometric functions have the same values for the same angle, but the units affect how you interpret the angle.
Why does the calculator show different results for the same angle?
The calculator shows different results because it calculates different trigonometric functions (sine, cosine, tangent, etc.). Each function provides a different ratio of sides in a right triangle for the same angle.
Can I use this calculator for angles greater than 360°?
Yes, you can enter any angle value, including those greater than 360°. The calculator will compute the trigonometric functions for the given angle, even if it's outside the standard 0° to 360° range.
How precise are the calculations?
The calculator provides results with up to 6 decimal places, which is sufficient for most practical applications. For more precise calculations, you might need specialized scientific calculators or software.