Arctan Calculator
How to Calculate or Solve Arctan (Inverse Tangent)
Arctan, written as tan-1(x) or arctan(x), is the inverse of the tangent function. It returns the angle whose tangent is a given number.
Formula:
arctan(x) = θ where tan(θ) = xThis function gives you the angle θ such that the tangent of that angle equals the number x.
Steps to Solve Arctan:
- Input any real number value (positive or negative).
- Use a calculator to find the arctangent of the number.
- The result is given in radians. Multiply by (180 / π) to convert to degrees.
Example:
To calculate arctan(1):
arctan(1) = π/4 radians = 45°Key Notes:
- The range of arctan(x) is from −π/2 to π/2 radians (or −90° to 90°).
- It accepts any real number as input (unlike arccos/arcsin).
- It’s useful in right triangle trigonometry and calculus.
Common Arctan Values Table
Value (x) | arctan(x) (Radians) | arctan(x) (Degrees) |
---|---|---|
0 | 0 | 0° |
1 | π/4 | 45° |
√3 | π/3 | 60° |
-1 | -π/4 | -45° |
∞ | π/2 | 90° |
-∞ | -π/2 | -90° |