Calculadora de Arco Seno

Arco-seno de um valor (de -1 a 1), resultado em graus.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Ângulo
30,0000 °

Formula

ângulo = arcsen(valor) × 180/π

About this calculator

The Arc Sine Calculator is an online tool that computes the angle whose sine equals a given value, between -1 and 1. The result is displayed in degrees, making it easier to interpret in geometric or engineering contexts. The formula used is: angle in degrees = arcsin(value) × 180/π. This conversion is essential because the arcsine function returns the angle in radians.

To use the calculator, simply enter a number in the range [-1, 1] and click calculate. The result appears instantly, with precision up to two decimal places. If the value is outside the range, the tool will display an alert, as there is no real arcsine for numbers less than -1 or greater than 1.

You can use this calculator in various practical situations: when determining inclination angles from a trigonometric ratio, in physics problems involving wave motion, or in solving right triangles. It is useful for students, engineers, and professionals who need quick results without resorting to tables or manual calculations.

Important precautions: remember that arcsine returns only angles in the range of -90° to 90° (or -π/2 to π/2 radians). For positive values, the angle is in the first quadrant; for negative ones, in the fourth quadrant. Check if the entered value is within the domain and if the desired unit is degrees (the calculator already performs the conversion).

Frequently asked questions

What happens if I enter a value greater than 1 or less than -1?

The calculator will display an alert stating that the value is out of domain, because arcsine is only defined for numbers between -1 and 1.

Is the result in degrees or radians?

The result is displayed in degrees. Internally, the calculator converts radians to degrees by multiplying by 180/π.

How precise is the result?

The result is rounded to two decimal places, which is sufficient for most everyday and academic uses.

Can I use this calculator to find the angle of a right triangle?

Yes, if you know the sine of the angle (opposite side over hypotenuse), you can enter that value to obtain the angle in degrees.

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