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The sine function (sin) is a fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle. It also describes the y-coordinate of a point on the unit circle at a given angle.

Fórmula

In a right triangle: sin(θ) = opposite / hypotenuse
In
opposite / hypotenuse — opposite / hypotenuse

Guia passo a passo

  1. 1In a right triangle: sin(θ) = opposite / hypotenuse
  2. 2On the unit circle: sin(θ) = y-coordinate at angle θ
  3. 3sin(θ°) = sin(θ × π/180) in radians
  4. 4Key values: sin(0°)=0, sin(30°)=0.5, sin(45°)=√2/2≈0.707, sin(60°)=√3/2≈0.866, sin(90°)=1

Exemplos resolvidos

Entrada
sin(30°)
Resultado
0.5
sin(π/6) in radians
Entrada
sin(45°)
Resultado
0.7071
√2/2 — the diagonal ratio
Entrada
sin(90°)
Resultado
1
Maximum value of sine

Perguntas frequentes

What is Sin Calc?

The sine function (sin) is a fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle. It also describes the y-coordinate of a point on the unit circle at a given angle

How accurate is the Sin Calc calculator?

The calculator uses the standard published formula for sin calc. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Sin Calc calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Sin Calc calculator use?

The core formula is: In a right triangle: sin(θ) = opposite / hypotenuse. Each step in the calculation is shown so you can verify the result manually.

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