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Cosine Calculator

Cosine Calculator

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This calculator finds the cosine of your angle, e.g. cos(60°) = 0.5, and plots the cosine wave with your angle marked.

Cosine is the trigonometric twin of sine, defined as the adjacent side divided by the hypotenuse in a right triangle, and it can be thought of as sine's curve shifted 90 degrees earlier, starting at its maximum instead of at zero. Enter an angle in degrees or radians, and this calculator finds its cosine value instantly, along with where that angle sits on the cosine curve. Like sine, its value always stays between −1 and 1, no matter how large the angle.

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  • Cosine is one of the three basic trigonometric ratios, defined in a right triangle as the adjacent side divided by the hypotenuse — cos(θ) = adjacent / hypotenuse.
  • Like sine, cosine always produces a value between −1 and 1, but it starts at its maximum (1) when the angle is 0°, rather than starting at 0.
  • The cosine curve is simply the sine curve shifted by 90°, which is why cos(θ) = sin(θ + 90°) for every angle.

How do I calculate the cosine of an angle?

Convert the angle to radians if needed (radians = degrees × π/180), then apply the cosine function, built into every scientific calculator and programming language.

What is cos(60°)?

0.5 — one of the most commonly memorized exact trigonometric values.