Inverse Tangent (Arctan) Calculator

Calculate the inverse tangent (arctan) of a value. Returns the angle whose tangent equals the input.

Angle Rad

0.78539816

Formula

## Inverse Tangent (Arctan) ### Definition **arctan(x) = the angle whose tangent is x** ### Domain and Range - **Domain**: all real numbers - **Range**: -90° to 90° (-pi/2 to pi/2 radians) Unlike arcsin and arccos, arctan accepts any real number as input.

Exemplo Resolvido

Find arctan(1).

  1. 01arctan(1) = pi/4 radians
  2. 02= 45 degrees
  3. 03Verification: tan(45°) = 1

Perguntas Frequentes

What is arctan?

Arctan (inverse tangent) returns the angle whose tangent equals the given value. Unlike arcsin/arccos, it accepts any real number.

What is arctan used for?

Arctan is used to find angles from slope ratios, in navigation, physics (angle of elevation/depression), and computer graphics.

What is the difference between arctan and atan2?

atan2(y, x) takes two arguments and returns the angle in the correct quadrant (-180° to 180°). arctan only returns angles from -90° to 90°.

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