Trig Calculator in Degrees Online

This online trigonometric calculator performs calculations using degrees as the angle unit. It's perfect for students, engineers, and anyone needing quick trigonometric function evaluations.

How to Use This Calculator

Using the trigonometric calculator is simple:

Select the trigonometric function you want to calculate (sine, cosine, tangent, arcsine, arccosine, or arctangent)
Enter the angle value in degrees in the input field
Click the "Calculate" button to get the result
View the result in the result box below the calculator
Use the "Reset" button to clear all inputs and results

The calculator will automatically convert degrees to radians when needed for inverse functions (arcsine, arccosine, arctangent) and back to degrees for the final result.

Formulas Used

The calculator uses standard trigonometric formulas:

Basic Trigonometric Functions

sin(θ) = opposite/hypotenuse

cos(θ) = adjacent/hypotenuse

tan(θ) = opposite/adjacent

Inverse Trigonometric Functions

arcsin(x) = θ where sin(θ) = x

arccos(x) = θ where cos(θ) = x

arctan(x) = θ where tan(θ) = x

All calculations are performed using JavaScript's built-in Math functions which use radians internally. The calculator converts between degrees and radians as needed.

Worked Examples

Let's look at some example calculations:

Example 1: Calculating sin(30°)

Using the calculator:

Select "Sine" from the function dropdown
Enter "30" in the angle input
Click "Calculate"

The result will be 0.5, which is the correct value for sin(30°).

Example 2: Calculating arctan(1)

Using the calculator:

Select "Arctangent" from the function dropdown
Enter "1" in the angle input
Click "Calculate"

The result will be approximately 45°, which is the correct value for arctan(1).

Note

For inverse functions, the calculator returns the principal value (the angle between -90° and 90° for arcsine and arccosine, and between -180° and 180° for arctangent).

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° or 2π radians. Degrees are commonly used in everyday contexts, while radians are more common in advanced mathematics and physics.

Why does the calculator convert between degrees and radians?

The calculator needs to convert between degrees and radians because JavaScript's Math functions use radians internally. For inverse functions, the calculator first converts the input to radians, performs the calculation, then converts the result back to degrees.

What are the domains of the inverse trigonometric functions?

The domains of the inverse trigonometric functions are:

arcsin(x): x must be between -1 and 1
arccos(x): x must be between -1 and 1
arctan(x): x can be any real number

How accurate are the calculations?

The calculator uses JavaScript's built-in Math functions which provide approximately 15 decimal digits of precision. For most practical purposes, this level of accuracy is sufficient.