Cos Calculator — Cosine of Any Angle
Enter an angle in degrees or radians to calculate cos(θ), and also see sin(θ), tan(θ) and cot(θ) in one step.
Angle unit
Cosine of the angle — ranges from −1 to 1
- 1
Convert to radians
60 × π ÷ 180 = 1,047198 rad - 2
cos(θ)
cos(1,047198 rad) = 0,500000The x-coordinate of the point on the unit circle at angle θ.
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cos(θ) is the x-coordinate on the unit circle at angle θ, always between −1 and 1. It equals adjacent/hypotenuse in a right triangle. Input degrees: multiply by π/180 first. The function repeats every 360° (2π rad), is even (cos(−θ) = cos(θ)), and is zero at 90°, 270°, and every odd multiple of 90°.
Képlet
How this is calculated
The cosine function maps an angle θ to the x-coordinate of the point on the unit circle at that angle. For a right triangle, cos(θ) equals the length of the adjacent side divided by the hypotenuse — but the function extends far beyond right triangles: cos is defined for all real numbers (and complex numbers), repeating with period 2π (360°).
When you enter an angle in degrees it is first converted to radians (θ_rad = θ° × π / 180) because the JavaScript Math functions — and all mathematical definitions — use radians. The cosine ranges from −1 to 1 inclusive, reaching +1 at 0°, 0 at 90°, −1 at 180°, 0 at 270°, and back to +1 at 360°.
The calculator also shows sine, tangent and cotangent for the same angle, since these are all derived from the same unit-circle point: sin(θ) is the y-coordinate, tan(θ) = sin(θ) / cos(θ), and cot(θ) = cos(θ) / sin(θ). Tangent is undefined when cos(θ) = 0 (at ±90°, ±270°, …) and cotangent is undefined when sin(θ) = 0 (at 0°, ±180°, …).
Gyakran ismételt kérdések
On the unit circle (radius = 1), the cosine of an angle θ is the horizontal (x) coordinate of the point reached after rotating counterclockwise from the positive x-axis by θ. In a right triangle, it is the ratio of the adjacent leg to the hypotenuse.
Cosine is an even function: cos(−θ) = cos(θ). Its graph is symmetric about the y-axis. Sine is odd (sin(−θ) = −sin(θ)), which is why cos(θ) = sin(90° − θ) — they are the same wave shifted by 90°.
Degrees split a full rotation into 360 equal parts by convention. Radians measure angle by the arc length on a unit circle: a full rotation is 2π ≈ 6.2832 radians. Scientific formulas (derivatives, series expansions) require radians; degrees are more intuitive for everyday geometry.
Más néven
TG we-Calculate Editorial Team. (2026). Cos Calculator — Cosine of Any Angle [Online calculator]. TG we-Calculate. https://we-calculate.com/hu/calculator/cos-calculator
TG we-Calculate Editorial Team. "Cos Calculator — Cosine of Any Angle." TG we-Calculate. 2026. https://we-calculate.com/hu/calculator/cos-calculator.
TG we-Calculate Editorial Team, "Cos Calculator — Cosine of Any Angle," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/hu/calculator/cos-calculator
@misc{wecalculate_cos_calculator, title = {Cos Calculator — Cosine of Any Angle}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/hu/calculator/cos-calculator}}, year = {2026}, note = {TG we-Calculate} }
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