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Arccos Calculator

Calculate the inverse cosine (arccos) to find the angle from a cosine value. Input must be between -1 and 1.

The arccosine function (arccos or cos⁻¹) is the inverse of the cosine function. Given a value between -1 and 1, it returns the angle whose cosine equals that value. The result is always in the range [0°, 180°] or [0, π] radians.

  1. Enter a value between -1 and 1
  2. Select DEG to see result in degrees, or RAD for radians
  3. The angle is calculated automatically
  4. Both degree and radian values are shown
  • Calculate inverse cosine for any valid value
  • Results in both degrees and radians
  • Input validation for domain [-1, 1]
  • Shows verification: cos(result) = input
  • Real-time calculation
Why is arccos range [0°, 180°] different from arcsin?
Each inverse trig function has a specific range to ensure it returns a unique value. For arccos, the range [0°, 180°] covers all possible cosine values exactly once.
What is arccos(0)?
arccos(0) = 90° or π/2 radians. This means cos(90°) = 0.
What is arccos(-1)?
arccos(-1) = 180° or π radians. This is the maximum angle returned by arccos.
Enter angle
°
sin(0°) 0
Formula
Degrees Radians sin cos tan
0010
30°π/61/2√3/2√3/3
45°π/4√2/2√2/21
60°π/3√3/21/2√3
90°π/210
120°2π/3√3/2−1/2−√3
135°3π/4√2/2−√2/2−1
150°5π/61/2−√3/2−√3/3
180°π0−10
Input value must be between -1 and 1
Result is the angle in the range [0°, 180°]
arccos(x) is also written as cos⁻¹(x)
Want to learn more? Read documentation →
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