Trig Calculator — Sine, Cosine, Tangent & All Six Functions
Instantly evaluate all six trigonometric functions — sin, cos, tan and their reciprocals csc, sec, cot — for any angle in degrees or radians. Great for homework, physics, engineering, or quick on-the-job checks.
Einheit
Sine of the angle — opposite ÷ hypotenuse
- 1
Convert to radians
30° × π ÷ 180 = 0,523599Trigonometric functions require the angle in radians. - 2
sin(θ)
sin(0,523599 rad) = 0,500000
Wie funktioniert dieser Rechner?
sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = sin/cos. Reciprocals: csc = 1/sin, sec = 1/cos, cot = cos/sin. Enter any angle in degrees or radians to get all six values. tan(90°) and cot(0°) are undefined. Convert degrees to radians by multiplying by π/180.
Formel
How this is calculated
Trigonometric functions relate an angle in a right triangle to the ratios of its sides. The three primary functions — sine, cosine, and tangent — are defined relative to the opposite side, adjacent side, and hypotenuse: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent (or equivalently sin θ / cos θ). The three reciprocal functions — cosecant (csc), secant (sec), and cotangent (cot) — are simply the reciprocals of sine, cosine, and tangent respectively.
This calculator converts your input angle to radians if entered in degrees (multiply by π/180), then evaluates the functions using the standard mathematical definitions. Tangent and cotangent are undefined wherever cosine or sine equal zero — for example tan(90°) and cot(0°) — so the calculator returns "undefined" for those cases. Values close to these singularities may show large numbers due to floating-point precision.
The sine wave animation below illustrates the periodic nature of sin(θ): the wave completes one full cycle every 360° (2π radians). Your input angle phase-shifts the displayed wave so you can visually locate where your angle falls within the cycle.
Häufige Fragen
tan θ = sin θ / cos θ. At 90° and 270°, cos θ = 0, which makes the denominator zero — division by zero is undefined in real numbers. On a unit circle, the tangent line at those angles is parallel to the x-axis and never intersects it, giving no finite value. Calculators typically return "undefined" or an error for these inputs.
Multiply degrees by π/180. So 180° = π rad, 90° = π/2 rad, 45° = π/4 rad, 60° = π/3 rad, 30° = π/6 rad. To go back: multiply radians by 180/π.
sin(30°) = 0.5, cos(30°) = √3/2 ≈ 0.866, tan(30°) = 1/√3 ≈ 0.577. sin(45°) = cos(45°) = 1/√2 ≈ 0.707, tan(45°) = 1. sin(60°) = √3/2 ≈ 0.866, cos(60°) = 0.5, tan(60°) = √3 ≈ 1.732. sin(0°) = 0, cos(0°) = 1. sin(90°) = 1, cos(90°) = 0.
TG we-Calculate Editorial Team. (2026). Trig Calculator — Sine, Cosine, Tangent & All Six Functions [Online calculator]. TG we-Calculate. https://we-calculate.com/de/calculator/trig-calculator
TG we-Calculate Editorial Team. "Trig Calculator — Sine, Cosine, Tangent & All Six Functions." TG we-Calculate. 2026. https://we-calculate.com/de/calculator/trig-calculator.
TG we-Calculate Editorial Team, "Trig Calculator — Sine, Cosine, Tangent & All Six Functions," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/de/calculator/trig-calculator
@misc{wecalculate_trig_calculator, title = {Trig Calculator — Sine, Cosine, Tangent & All Six Functions}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/de/calculator/trig-calculator}}, year = {2026}, note = {TG we-Calculate} }
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