-
convention is to name
inverse trigonometric functions using an arc- prefix:
arcsin(x), arccos(x), arctan(x), etc. (This
convention is used
throughout this...
- is multivalued:
arcsin ( 0 ) = 0 {\displaystyle \
arcsin(0)=0} , but also
arcsin ( 0 ) = π {\displaystyle \
arcsin(0)=\pi } ,
arcsin ( 0 ) = 2 π {\displaystyle...
-
arcsin x ) {\displaystyle \cot(\
arcsin x)} is: cot (
arcsin x ) = 1 tan (
arcsin x ) = 1 x 1 − x 2 = 1 − x 2 x {\displaystyle \cot(\
arcsin x)={\frac...
-
archav ( hav θ ) = 2 r
arcsin ( hav θ ) {\displaystyle d=r\operatorname {archav} (\operatorname {hav} \theta )=2r\
arcsin \left({\sqrt {\operatorname...
- 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...
- ) = 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...
- functions. ∫
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...
- 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}}.} Then, ∫...
- 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)...
- P = ( ∫ θ = 0
arcsin t l ∫ x = 0 l 2 sin θ 4 t π d x d θ ) + ( ∫
arcsin t l π 2 2 π d θ ) = 2 l t π − 2 t π ( l 2 − t 2 + t
arcsin t l ) + 1 {\displaystyle...
