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Cos Tan Sin Calculator in Degrees

Reviewed by Calculator Editorial Team

This calculator computes the cosine, tangent, and sine of an angle in degrees. It's useful for solving right-angled triangle problems, wave analysis, and other trigonometric applications. The results are displayed with 4 decimal places for precision.

How to Use This Calculator

To calculate trigonometric values in degrees:

  1. Enter the angle in degrees in the input field
  2. Click the "Calculate" button
  3. View the cosine, tangent, and sine results
  4. Optionally view the trigonometric chart

The calculator handles angles from 0° to 360° and provides immediate results. For angles outside this range, the calculator will normalize the input to the equivalent angle within 0°-360°.

Formula Explained

The trigonometric functions are calculated using the following formulas:

Cosine (cos)

cos(θ) = adjacent / hypotenuse

Tangent (tan)

tan(θ) = opposite / adjacent

Sine (sin)

sin(θ) = opposite / hypotenuse

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

Note

All calculations are performed using JavaScript's built-in Math functions, which use radians. The degree-to-radian conversion is handled automatically.

Worked Examples

Example 1: 30° Angle

For θ = 30°:

  • cos(30°) ≈ 0.8660
  • tan(30°) ≈ 0.5774
  • sin(30°) ≈ 0.5000

Example 2: 45° Angle

For θ = 45°:

  • cos(45°) ≈ 0.7071
  • tan(45°) ≈ 1.0000
  • sin(45°) ≈ 0.7071

Example 3: 90° Angle

For θ = 90°:

  • cos(90°) ≈ 0.0000
  • tan(90°) → undefined (infinite)
  • sin(90°) ≈ 1.0000

Frequently Asked Questions

What is the difference between cosine, tangent, and sine?

Cosine relates the adjacent side to the hypotenuse, tangent relates the opposite side to the adjacent side, and sine relates the opposite side to the hypotenuse in a right-angled triangle.

Can I use this calculator for angles outside 0°-360°?

Yes, the calculator will normalize any angle to its equivalent within 0°-360° by using the modulo operation.

Why does tan(90°) show as undefined?

Tangent is undefined at 90° because the adjacent side length approaches zero, making the division operation undefined in mathematics.

How precise are the results?

The calculator displays results with 4 decimal places, which is sufficient for most practical applications.