Cosine Calculator

by

Advanced Cosine Calculator

Degrees (°) Radians (rad)
The Cosine (cos) is:
0
function calculateCosine() { var angleVal = document.getElementById("angleInput").value; var unit = document.getElementById("unitSelect").value; var resultBox = document.getElementById("cosineResultBox"); var resultDisplay = document.getElementById("cosineValue"); if (angleVal === "" || isNaN(angleVal)) { alert("Please enter a valid numeric angle value."); return; } var angle = parseFloat(angleVal); var radians; if (unit === "degrees") { radians = angle * (Math.PI / 180); } else { radians = angle; } var cosineResult = Math.cos(radians); // Clean up floating point precision issues for standard angles (like cos 90 = 0) if (Math.abs(cosineResult) < 1e-15) { cosineResult = 0; } resultDisplay.innerHTML = parseFloat(cosineResult.toFixed(8)).toString(); resultBox.style.display = "block"; }

Understanding the Cosine Function

In mathematics, the cosine (often abbreviated as cos) is a fundamental trigonometric function. In a right-angled triangle, the cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

For a unit circle (a circle with a radius of 1), the cosine represents the x-coordinate of a point on the circumference at a given angle from the positive x-axis.

The Cosine Formula

cos(θ) = Adjacent / Hypotenuse

How to Use This Calculator

  1. Enter the Angle: Input the numerical value of the angle you wish to calculate.
  2. Select the Unit: Choose between Degrees (the most common unit in basic geometry) or Radians (widely used in calculus and physics).
  3. Click Calculate: The tool will instantly provide the cosine value rounded for precision.

Common Cosine Values

Angle (Degrees) Angle (Radians) Cosine Value
0° 0 1
30° π/6 0.8660
45° π/4 0.7071
60° π/3 0.5
90° π/2 0
180° π -1

Conversion Between Degrees and Radians

If you are calculating manually, you can switch between units using these formulas:

  • Degrees to Radians: Radians = Degrees × (π / 180)
  • Radians to Degrees: Degrees = Radians × (180 / π)

Note: This calculator uses the standard Math library in JavaScript, ensuring high precision for all trigonometric operations.

Leave a Comment