arc tangent
Definition
- Noun:
- The inverse function of the tangent: The
arc tangentis a mathematical function that, for a given number (the tangent value), returns the corresponding angle. It is the inverse operation of taking the tangent of an angle.
Usage
- The function is used to find an angle when the value of its tangent is known.
- It is commonly abbreviated as or .
- The output (angle) of the function is typically measured in radians or degrees.
Examples
- Noun:
- To find the angle whose tangent is 1, you calculate the
arc tangentof 1, which is 45 degrees or π/4 radians. - The value is obtained by applying the
arc tangentfunction to the ratio of the two sides.
Advanced Usage
- Principal Value: The function usually returns the principal value, which is the angle in the range -90° to 90° (-π/2 to π/2 radians).
- Two-Argument Form (
atan2): In many programming and engineering contexts, a related two-argument function is used. This function computes the of , but uses the signs of both arguments to determine the correct quadrant of the resulting angle, providing a full 360° range.
Variants and Related Words
- Arctan (n): A common abbreviation for .
- The result of
arctan(0)is 0.
- Atan (n): Another common abbreviation, especially in computing.
- Use the
atanfunction in your code.
- Inverse Tangent (n): A synonym for .
- The
inverse tangentis a crucial function in trigonometry.
Synonyms
- Inverse Tangent: The function that undoes the tangent operation.
- Arctangent: A single-word variant.
Related Mathematical Functions
- Arc Sine (n): The inverse function of the sine.
- Arc Cosine (n): The inverse function of the cosine.
Noun
-
the inverse function of the tangent; the angle that has a tangent equal to a given number
Khám phá thêm
Các từ liên quan
Từ đồng nghĩa
Từ gần giống
Từ chứa "arc tangent"
