Tan-1

Tan-1, TAN-1, tan-1, or tan−1 may refer to:

  • tan−1y = tan−1(x), sometimes interpreted as arctan(x) or arctangent of x, the compositional inverse of the trigonometric function tangent (see below for ambiguity)
  • tan−1x = tan−1(x), sometimes interpreted as (tan(x))−1 = 1/tan(x) = cot(x) or cotangent of x, the multiplicative inverse (or reciprocal) of the trigonometric function tangent (see above for ambiguity)
  • tan x−1, sometimes interpreted as tan(x−1) = tan(1/x), the tangent of the multiplicative inverse (or reciprocal) of x (see below for ambiguity)
  • tan x−1, sometimes interpreted as (tan(x))−1 = 1/tan(x) = cot(x) or cotangent of x, the multiplicative inverse (or reciprocal) of the trigonometric function tangent (see above for ambiguity)[citation needed]

Because of ambiguity, the notation arctan(x) or (tan(x))−1, is recommended.

See also