Definition of Arctan. Meaning of Arctan. Synonyms of Arctan

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Definition of Arctan

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Meaning of Arctan from wikipedia

- inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. (This convention is used throughout this article.) This notation...
- arctan ⁡ 1 2 + arctan ⁡ 1 3 , {\displaystyle {\frac {\pi }{4}}=\arctan {\frac {1}{2}}+\arctan {\frac {1}{3}},} π = arctan ⁡ 1 + arctan ⁡ 2 + arctan ⁡...
- x ) = arctan ⁡ ( y / x ) . {\textstyle \theta =\operatorname {atan2} (y,x)=\arctan \left(y/x\right).} However, when x < 0, the angle arctan ⁡ ( y /...
- function f ( x ) = arctan ⁡ x {\displaystyle f(x)=\arctan x} Gudermannian function f ( x ) = gd ⁡ ( x ) = ∫ 0 x d t cosh ⁡ t = 2 arctan ⁡ ( tanh ⁡ ( x 2...
- Gregory's series, is arctan ⁡ x = x − x 3 3 + x 5 5 − x 7 7 + ⋯ = ∑ k = 0 ∞ ( − 1 ) k x 2 k + 1 2 k + 1 . {\displaystyle \arctan x=x-{\frac {x^{3}}{3}}+{\frac...
- 0 π 2 y | y | if  x = 0  and  y ≠ 0 arctan ⁡ ( y x ) if  x > 0 arctan ⁡ ( y x ) + π if  x < 0  and  y ≥ 0 arctan ⁡ ( y x ) − π if  x < 0  and  y < 0 {\displaystyle...
- arctan ⁡ s + arctan ⁡ t = arctan ⁡ s + t 1 − s t {\displaystyle \arctan s+\arctan t=\arctan {\frac {s+t}{1-st}}} holds, provided arctan ⁡ s + arctan ⁡...
- 4 = 6 arctan ⁡ 1 8 + 2 arctan ⁡ 1 57 + arctan ⁡ 1 239 {\displaystyle {\frac {\pi }{4}}=6\arctan {\frac {1}{8}}+2\arctan {\frac {1}{57}}+\arctan {\frac...
- x + i y ) = atan2 ⁡ ( y , x ) = { arctan ⁡ ( y x ) if  x > 0 , arctan ⁡ ( y x ) + π if  x < 0  and  y ≥ 0 , arctan ⁡ ( y x ) − π if  x < 0  and  y < 0...
- sgn ⁡ ( y ) arccos ⁡ x x 2 + y 2 = { arctan ⁡ ( y x ) if  x > 0 , arctan ⁡ ( y x ) + π if  x < 0  and  y ≥ 0 , arctan ⁡ ( y x ) − π if  x < 0  and  y < 0...