স্পর্শক বিপরীত ফাংশন; কোণ একটি স্পর্শক আছে একটি প্রদত্ত সংখ্যার সমান

arctan's Usage Examples:

inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc.

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.

horizontally, α h = 2 arctan ⁡ h 2 f = 2 arctan ⁡ 36 2 × 50 ≈ 39.

6 ∘ {\displaystyle \alpha _{h}=2\arctan {\frac {h}{2f}}=2\arctan {\frac {36}{2\times 50}}\approx.

{\displaystyle \operatorname {atan2} (y,x)} or arctan2 ⁡ ( y , x ) {\displaystyle \operatorname {arctan2} (y,x)} (from "2-argument arctangent") is defined.

arctan ⁡ 1 2 + arctan ⁡ 1 3 , {\displaystyle {\frac {\pi }{4}}=\arctan {\frac {1}{2}}+\arctan {\frac {1}{3}},} π = arctan ⁡ 1 + arctan ⁡ 2 + arctan ⁡.

atan2 ⁡ ( y , x ) = { arctan ⁡ ( y x ) if  x > 0 , π 2 − arctan ⁡ ( x y ) if  y > 0 , − π 2 − arctan ⁡ ( x y ) if  y < 0 , arctan ⁡ ( y x ) ± π if  x <.

2 π arctan [ exp ⁡ ( π 2 x ) ] .

{\displaystyle ={\frac {2}{\pi }}\arctan \!\left[\exp \left({\frac {\pi }{2}}\,x\right)\right]\!.

} where "arctan" is.

∫ x arctan ⁡ ( a x ) d x = x 2 arctan ⁡ ( a x ) 2 + arctan ⁡ ( a x ) 2 a 2 − x 2 a + C {\displaystyle \int x\arctan(ax)\,dx={\frac {x^{2}\arctan(ax)}{2}}+{\frac.

4 = 2 arctan ⁡ 1 3 + arctan ⁡ 1 7 {\displaystyle {\frac {\pi }{4}}=2\arctan {\frac {1}{3}}+\arctan {\frac {1}{7}}} π 4 = 4 arctan ⁡ 1 5 − arctan ⁡ 1 239.

θ = arctan ⁡ x {\displaystyle \theta =\arctan x} .

Since arctan ⁡ 0 = 0 {\displaystyle \arctan 0=0} and arctan ⁡ 1 = π / 4 {\displaystyle \arctan 1=\pi.

formula from 1706: π 4 = 4 arctan ⁡ 1 5 − arctan ⁡ 1 239 {\displaystyle {\frac {\pi }{4}}=4\arctan {\frac {1}{5}}-\arctan {\frac {1}{239}}} which he used.

{x^{2}+y^{2}+z^{2}}},} ϕ = arctan ⁡ y x = arg ⁡ ( x + y i ) , {\displaystyle \phi =\arctan {\frac {y}{x}}=\arg(x+yi),} θ = arctan ⁡ x 2 + y 2 z = arccos ⁡.

formula: π 4 = 4 arctan ⁡ ( 1 5 ) − arctan ⁡ ( 1 239 ) {\displaystyle {\frac {\pi }{4}}=4\arctan \left({\frac {1}{5}}\right)-\arctan \left({\frac {1}{239}}\right)}.

"On Irrationality Measure of arctan 1/3".

0 {\displaystyle x>0\!} ) one has arctan ⁡ ( y , x > 0 ) = arctan ⁡ ( y / x ) {\displaystyle \arctan(y,x>0)=\arctan(y/x)\!} .

( x ; 0 , 1 ) = 1 2 + 1 π arctan ⁡ ( ln ⁡ x ) ,     x > 0 {\displaystyle F(x;0,1)={\frac {1}{2}}+{\frac {1}{\pi }}\arctan(\ln x),\ \ x>0} The survival.

The dihedral angles are: between the base and a side: arctan ⁡ ( 2 h l ) {\displaystyle \arctan \left({{2\,h} \over {l}}\right)} ; between two sides:.

known as Gregory's series, can be given by: arctan ⁡ x = x − x 3 3 + x 5 5 − x 7 7 + ⋯ {\displaystyle \arctan x=x-{\frac {x^{3}}{3}}+{\frac {x^{5}}{5}}-{\frac.

d x 2 + cos ⁡ x = lim b → π 4 3 arctan ⁡ ( tan ⁡ x / 2 3 ) | 0 b = 4 3 [ lim b → π arctan ⁡ ( tan ⁡ b / 2 3 ) − arctan ⁡ ( 0 ) ] = 4 3 ( π 2 − 0 ) = 2.

( cos ⁡ φ sin ⁡ λ ) y = arctan ⁡ ( tan ⁡ φ cos ⁡ λ ) .

{\displaystyle x=\arcsin(\cos \varphi \sin \lambda )\qquad y=\arctan \left({\frac {\tan \varphi.

arctan's Meaning':

the inverse function of the tangent; the angle that has a tangent equal to a given number