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The cotangent formula for an angle θ is: cot θ = (Adjacent side) / (Opposite side). Let us take a look at the right-angled triangle ABC that is right-angled at B. Then AB is the side that is adjacent to A and BC is the side that is opposite to A.
The cotangent function is defined in a right-angled triangle as the ratio of the adjacent and opposite side. The function is defined in the range from 0 ° ± k · 180 ° to 180 ° ± k · 180 ° and takes values from −∞ to +∞.
10 paź 2024 · The cotangent function cotz is the function defined by cotz = 1/(tanz) (1) = (i(e^(iz)+e^(-iz)))/(e^(iz)-e^(-iz)) (2) = (i(e^(2iz)+1))/(e^(2iz)-1), (3) where tanz is the tangent. The cotangent is implemented in the Wolfram Language as Cot[z].
The cotangent is undefined at angles 0 and at multiples of k·π, where k is an integer, due to the sine in the denominator being zero (sin 0=0). α = k⋅π α = k ⋅ π. The graph of the cotangent shows vertical asymptotes at the angles α=k·π, where the cotangent is not defined.
In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. In a formula, it is abbreviated to just 'cot'. Of the six possible trigonometric functions, cotangent, secant, and cosecant, are rarely used.
Definition of the cotangent function for a complex argument. In the complex ‐plane, the function is defined using and or the exponential function in the points and through the formula: In the points , where has zeros, the denominator of the last formula equals zero and has singularities (poles of the first order).
21 maj 2024 · The cotangent calculator is here to give you the value of the cotangent function for any given angle.
