সাইন বিপরীত ফাংশন; কোণ একটি সাইন যে একটি প্রদত্ত সংখ্যার সমান

arcsin's Usage Examples:

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

∫ arcsin ⁡ ( x ) d x = x arcsin ⁡ ( x ) + 1 − x 2 + C {\displaystyle \int \arcsin(x)\,dx=x\arcsin(x)+{\sqrt {1-x^{2}}}+C} ∫ arcsin ⁡ ( a x ) d.

) = 2 π arcsin ⁡ ( x ) = arcsin ⁡ ( 2 x − 1 ) π + 1 2 {\displaystyle F(x)={\frac {2}{\pi }}\arcsin \left({\sqrt {x}}\right)={\frac {\arcsin(2x-1)}{\pi.

x = a cos ⁡ θ d θ , θ = arcsin ⁡ x a .

{\displaystyle x=a\sin \theta ,\quad dx=a\cos \theta \,d\theta ,\quad \theta =\arcsin {\frac {x}{a}}.

composed of the operations: x = arcsin ⁡ ( cos ⁡ φ sin ⁡ λ ) y = arctan ⁡ ( tan ⁡ φ cos ⁡ λ ) .

{\displaystyle x=\arcsin(\cos \varphi \sin \lambda )\qquad.

2 = θ 0 + arcsin ( n sin ⁡ [ α − arcsin ( 1 n sin ⁡ θ 0 ) ] ) − α {\displaystyle \delta =\theta _{0}+\theta _{2}=\theta _{0}+{\text{arcsin}}{\Big (}n\.

is: θ = 2 arcsin ⁡ b 2 a = 2 arcsin ⁡ 1 2 φ = 2 arcsin ⁡ 5 − 1 4 = π 5   rad = 36 ∘ .

{\displaystyle \theta =2\arcsin {b \over 2a}=2\arcsin {1 \over 2\varphi.

It follows that the arcsine function is multivalued: arcsin(0) = 0, but also arcsin(0) = π, arcsin(0) = 2π, etc.

, arcsin, log, or x1/n).

θ = arcsin ⁡ [ y 4 + π 2 π R ] ≈ arcsin ⁡ [ y 1.

326 5004 R ] φ = arcsin ⁡ [ θ + sin ⁡ θ cos ⁡ θ + 2 sin ⁡ θ 2 + π.

∫ u d x = 1 2 ( x u + a 2 arcsin ⁡ x a ) ( | x | ≤ | a | ) {\displaystyle \int u\,dx={\frac {1}{2}}\left(xu+a^{2}\arcsin {\frac {x}{a}}\right)\qquad.

calculate Ω ∗ = arcsin ⁡ ( n 1 ⋅ n 2 ) + arcsin ⁡ ( n 2 ⋅ n 3 ) + arcsin ⁡ ( n 3 ⋅ n 4 ) + arcsin ⁡ ( n 4 ⋅ n 1 ) .

{\displaystyle \Omega ^{*}=\arcsin \left(n_{1}\cdot.

arcsine-distributed if Pr [ X ≤ x ] = 2 π arcsin ⁡ ( x ) , ∀ x ∈ [ 0 , 1 ] .

{\displaystyle \Pr \left[X\leq x\right]={\frac {2}{\pi }}\arcsin \left({\sqrt {x}}\right).

differentiating the identity arcsin ⁡ x + arccos ⁡ x = π / 2 {\displaystyle \arcsin x+\arccos x=\pi /2} so that ( arccos ⁡ x ) ′ = − ( arcsin ⁡ x ) ′ {\displaystyle.

2 = 2 arcsin ⁡ ( n cos ⁡ ( arcsin ⁡ ( 1 / n ) ) / cos ⁡ ( e ) ) {\displaystyle \theta _{{\mathfrak {1}}{\mathfrak {3}}{\mathfrak {2}}}=2\arcsin \left(n\cos.

arcsin ⁡ ( 5 13 − 18 ) ] {\displaystyle \lambda ^{*}(13)=\sin \left[{\frac {1}{2}}\arcsin(5{\sqrt {13}}-18)\right]} λ ∗ ( 17 ) = sin ⁡ { 1 2 arcsin ⁡.

h ) = 2 r arcsin ⁡ ( h ) {\displaystyle d=r\operatorname {archav} (h)=2r\arcsin \left({\sqrt {h}}\right)} or more explicitly: d = 2 r arcsin ⁡ ( hav ⁡.

coordinate η = arcsin ⁡ r R {\displaystyle \eta =\arcsin {\frac {r}{\mathcal {R}}}} and a corresponding parameter η g = arcsin ⁡ r g R = arcsin ⁡ r s r g {\displaystyle.

{\displaystyle \mu } with semi-vertical angle q = arcsin ⁡ ( e α 1 / 2 σ ^ ) , {\displaystyle q=\arcsin \left(e_{\alpha }^{1/2}{\hat {\sigma }}\right),}.

σ = archav ⁡ ( hav ⁡ ( Δ ϕ ) + cos ⁡ ϕ 1 cos ⁡ ϕ 2 hav ⁡ ( Δ λ ) ) = 2 arcsin ⁡ sin 2 ⁡ ( Δ ϕ 2 ) + cos ⁡ ϕ 1 cos ⁡ ϕ 2 sin 2 ⁡ ( Δ λ 2 ) .

arcsin's Meaning':

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