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.
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