AI & ChatGPT searches , social queriess for ARCCOS
Search references for ARCCOS. Phrases containing ARCCOS
See searches and references containing ARCCOS!
Search references for ARCCOS. Phrases containing ARCCOS
See searches and references containing ARCCOS!ARCCOS
Topics referred to by the same term
Look up arccos in Wiktionary, the free dictionary. Arccos, or variants, may refer to: arccos(x), one of the inverse trigonometric functions ARccOS protection
Arccos
Inverse functions of sin, cos, tan, etc.
\,\pm \arccos x=0\,} (because + arccos x = + 0 = 0 {\displaystyle \,+\arccos x=+0=0\,} and − arccos x = − 0 = 0 {\displaystyle \,-\arccos x=-0=0\
Inverse trigonometric functions
Inverse_trigonometric_functions
DVD copy protection system by Sony
ARccOS (Advanced Regional Copy Control Operating Solution) is a copy-protection system made by Sony that is used on some DVDs. Designed as an additional
ARccOS_protection
( arccos x ) {\displaystyle \csc(\arccos x)} and sec ( arccos x ) {\displaystyle \sec(\arccos x)} are: csc ( arccos x ) = 1 sin ( arccos
List of trigonometric identities
List_of_trigonometric_identities
-1,-2)} ∫ arccos ( x ) d x = x arccos ( x ) − 1 − x 2 + C {\displaystyle \int \arccos(x)\,dx=x\arccos(x)-{\sqrt {1-x^{2}}}+C} ∫ arccos ( a x ) d
List of integrals of inverse trigonometric functions
List_of_integrals_of_inverse_trigonometric_functions
Fundamental trigonometric functions
and cos ∘ arccos ( x ) = x x ∈ [ − 1 , 1 ] arccos ∘ cos ( x ) = x x ∈ [ 0 , π ] {\displaystyle {\begin{aligned}\cos \circ \arccos \,(x)&=x\qquad
Sine_and_cosine
Description of the orientation of a rigid body
function, α = arccos ( − Z 2 1 − Z 3 2 ) , {\displaystyle \alpha =\arccos \left({\frac {-Z_{2}}{\sqrt {1-Z_{3}^{2}}}}\right),} β = arccos ( Z 3 ) ,
Euler_angles
Special function defined by an integral
{2}}}\right)-2E\left[\arccos(x);{\frac {1}{\sqrt {2}}}\right]+F\left[\arccos(x);{\frac {1}{\sqrt {2}}}\right]\right\}\,+} + 2 x 2 1 − x 4 { K ( 1 2 ) − F [ arccos ( x
Elliptic_integral
SI derived unit of solid angle
θ = arccos ( r − h r ) = arccos ( 1 − h r ) = arccos ( 1 − 1 2 π ) , {\displaystyle \theta =\arccos \left({\frac {r-h}{r}}\right)=\arccos \left(1-{\frac
Steradian
Central atom with four substituents located at the corners of a tetrahedron
substituents that are located at the corners of a tetrahedron. The bond angles are arccos(−1/3) = 109.4712206...° ≈ 109.5° when all four substituents are the same
Tetrahedral molecular geometry
Tetrahedral_molecular_geometry
Similarity measure for number sequences
angular distance = D θ := arccos ( cosine similarity ) π = θ π {\displaystyle {\text{angular distance}}=D_{\theta }:={\frac {\arccos({\text{cosine similarity}})}{\pi
Cosine_similarity
Defining the orbit of an object in space
h as follows: n = k × h = ( − h y , h x , 0 ) Ω = { arccos n x | n | , n y ≥ 0 ; 2 π − arccos n x | n | , n y < 0. {\displaystyle {\begin{aligned}\mathbf
Longitude of the ascending node
Longitude_of_the_ascending_node
City in Buenos Aires Province, Argentina
Partido and has a population of 38,418 inhabitants (2010). UN/LOCODE is ARCCO. Close to Chacabuco, on the RN 7 is the Laguna Rocha, formed by a widening
Chacabuco,_Buenos_Aires
Mathematical process of finding the derivative of a trigonometric function
established, the derivative of arccos x {\displaystyle \arccos x} follows immediately by differentiating the identity arcsin x + arccos x = π / 2 {\displaystyle
Differentiation of trigonometric functions
Differentiation_of_trigonometric_functions
3) arccos ( 1 3 ) {\displaystyle \arccos({\frac {1}{3}})} 70.529° Hexahedron or Cube {4,3} (4.4.4) arccos ( 0 ) = π 2 {\displaystyle \arccos(0)={\frac
Table of polyhedron dihedral angles
Table_of_polyhedron_dihedral_angles
Type of isosceles triangle
5}~{\text{rad}}=72^{\circ }.} Note: β = arccos ( 5 − 1 4 ) rad = 2 π 5 rad = 72 ∘ . {\displaystyle \beta =\arccos \left({\frac {{\sqrt
Golden_triangle_(mathematics)
Coordinates comprising a distance and two angles
coordinates (x, y, z) by the formulae r = x 2 + y 2 + z 2 θ = arccos z x 2 + y 2 + z 2 = arccos z r = { arctan x 2 + y 2 z if z > 0 π + arctan x 2
Spherical_coordinate_system
Regular polytope dual to the hypercube in any number of dimensions
δ n = arccos ( 2 − n n ) {\displaystyle \delta _{n}=\arccos \left({\frac {2-n}{n}}\right)} . This gives: δ2 = arccos(0/2) = 90°, δ3 = arccos(−1/3) =
Cross-polytope
Catalan solid with 24 faces
angles are arccos 2 3 ≈ 48.1897 ∘ {\displaystyle \arccos {\tfrac {2}{3}}\approx 48.1897^{\circ }} and the complementary 180 ∘ − 2 arccos 2 3 ≈ 83
Tetrakis_hexahedron
Wind experienced by a moving object
using the inverse cosine in degrees ( arccos {\displaystyle \arccos } ) β = arccos ( W cos α + V A ) = arccos ( W cos α + V W 2 + V 2 + 2 W V cos
Apparent_wind
Pseudoazimuthal compromise map projection
unnormalized cardinal sine function, and α = arccos ( cos φ cos λ 2 ) . {\displaystyle \alpha =\arccos \left(\cos \varphi \cos {\frac {\lambda }{2}}\right)
Winkel_tripel_projection
Estimation of orbits of objects
, but arccos ( C ) {\displaystyle \arccos(C)} is defined only in [0,180] degrees. So arccos ( C ) {\displaystyle \arccos(C)} is ambiguous
Orbit_determination
Collection of proofs of equations involving trigonometric functions
[ arccos ( x ) ] {\displaystyle [\arccos(x)]} ... cos [ arccos ( x ) ] = x {\displaystyle \cos[\arccos(x)]=x} cos ( π 2 − ( π 2 − [ arccos (
Proofs of trigonometric identities
Proofs_of_trigonometric_identities
Type of roulette curve
origin at angles π ± arccos b a {\textstyle \pi \pm \arccos {b \over a}} , the area enclosed by the inner loop is ( b 2 + a 2 2 ) arccos b a − 3 2 b a
Limaçon
1 minus the cosine of an angle
( y ) = 2 arccos ( y ) = arccos ( 2 y − 1 ) {\displaystyle \operatorname {archavercos} (y)=2\arccos \left({\sqrt {y}}\right)=\arccos \left(2y-1\right)}
Versine
Catalan solid with 120 faces
_{6}=\arccos \left({\frac {17-4\phi }{20}}\right)\approx 58.238^{\circ }} α 10 = arccos ( 2 + 5 ϕ 12 ) ≈ 32.770 ∘ {\displaystyle \alpha _{10}=\arccos \left({\frac
Disdyakis_triacontahedron
Area bounded by a circular arc and a straight line
In terms of R and h, a = R 2 arccos ( 1 − h R ) − ( R − h ) h ( 2 R − h ) {\displaystyle a=R^{2}\arccos \left(1-{\frac {h}{R}}\right)-\left(R-h\right){\sqrt
Circular_segment
Problem of finding unknown lengths and angles of a triangle
can be used: α = arccos b 2 + c 2 − a 2 2 b c β = arccos a 2 + c 2 − b 2 2 a c . {\displaystyle {\begin{aligned}\alpha &=\arccos {\frac
Solution_of_triangles
Function's sensitivity to argument change
cosine function arccos ( x ) {\displaystyle \arccos(x)} | x | 1 − x 2 arccos ( x ) {\displaystyle {\frac {|x|}{{\sqrt {1-x^{2}}}\arccos(x)}}} Inverse
Condition_number
Polyhedron with 44 faces
solid models. Faces have two angles of arccos ( 5 8 + 1 8 5 ) ≈ 25.242 832 961 52 ∘ {\displaystyle \arccos({\frac {5}{8}}+{\frac {1}{8}}{\sqrt {5}})\approx
Small_dodecicosidodecahedron
Geometry and construction of the foremost tip of airplanes, spacecraft and projectiles
tangent ogive with the same R and L: ρ ≥ R + L 2 R 2 α = arctan ( R L ) − arccos ( R 2 + L 2 2 ρ ) y = ρ 2 − ( x − ρ cos α ) 2 + ρ sin ( α ) , 0 ≤
Nose_cone_design
Parameter of Keplerian orbits
be calculated from orbital state vectors as: ν = arccos e ⋅ r | e | | r | {\displaystyle \nu =\arccos {{\mathbf {e} \cdot \mathbf {r} } \over {\mathbf
True_anomaly
Plane curve
− b ∫ arccos x 1 a arccos x 2 a 1 + ( a 2 b 2 − 1 ) sin 2 z d z . {\displaystyle s=-b\int _{\arccos {\frac {x_{1}}{a}}}^{\arccos {\frac
Ellipse
Solid with four equal triangular faces
triangular faces) of a regular tetrahedron is arccos ( 1 / 3 ) = arctan ( 2 2 ) ≈ 70.529 ∘ {\textstyle \arccos \left(1/3\right)=\arctan \left(2{\sqrt {2}}\right)\approx
Regular_tetrahedron
Specifies the orbit of an object in space
periapsis ω can be calculated as follows: ω = arccos n ⋅ e | n | | e | {\displaystyle \omega =\arccos {{\mathbf {n} \cdot \mathbf {e} } \over {\mathbf
Argument_of_periapsis
Mathematical theorem, used in calculus
f(x)=\cos(x)} and f − 1 ( y ) = arccos ( y ) {\displaystyle f^{-1}(y)=\arccos(y)} , ∫ arccos ( y ) d y = y arccos ( y ) − sin ( arccos ( y ) ) + C . {\displaystyle
Integral_of_inverse_functions
Distance between two probability measures in statistics
probability space. It is defined as Δ ( p , q ) = arccos BC ( p , q ) {\displaystyle \Delta (p,q)=\arccos \operatorname {BC} (p,q)} where pi, qi are the
Bhattacharyya_angle
Catalan solid with 60 faces
is arccos ( − 5 − 2 5 20 ) {\textstyle \arccos({\frac {-5-2{\sqrt {5}}}{20}})} ≈ 118.2686774705°. The opposite angle, between long edges, is arccos
Deltoidal_hexecontahedron
Polyhedron with 60 faces
solid models. Faces have two angles of arccos ( 3 4 + 1 20 5 ) ≈ 30.480 324 565 36 ∘ {\displaystyle \arccos({\frac {3}{4}}+{\frac {1}{20}}{\sqrt {5}})\approx
Great icosacronic hexecontahedron
Great_icosacronic_hexecontahedron
Catalan solid with 24 faces
of arccos ( ( 1 − t ) / 2 ) ≈ 114.812 074 477 90 ∘ {\displaystyle \arccos((1-t)/2)\approx 114.812\,074\,477\,90^{\circ }} and one angle of arccos (
Pentagonal_icositetrahedron
Conditions for switching order of integration in calculus
2 2 F [ arccos ( x ) ; 1 2 2 ] } x = 0 x = 1 = 1 2 2 K ( 1 2 2 ) ∫ 0 1 x 2 1 − x 4 d x = { 1 2 2 F [ arccos ( x ) ; 1 2 2 ] − 2 E [ arccos ( x )
Fubini's_theorem
Coordinates comprising a distance and an angle
function: φ = { arccos ( x r ) if y ≥ 0 and r ≠ 0 − arccos ( x r ) if y < 0 undefined if r = 0. {\displaystyle \varphi ={\begin{cases}\arccos \left({\frac
Polar_coordinate_system
Angle between diagonal and edge of a cube
magic angle θm is θ m = arccos 1 3 = arctan 2 ≈ 0.955 32 rad ≈ 54.7 ∘ , {\displaystyle \theta _{\mathrm {m} }=\arccos {\frac {1}{\sqrt {3}}}=\arctan
Magic_angle
Geometric figure
( x ) = r 2 [ E ( arccos ( x / r ) , 1 2 ) − 1 2 F ( arccos ( x / r ) , 1 2 ) ] {\displaystyle z(x)=r{\sqrt {2}}\left[E(\arccos(x/r),{\frac {1}{\sqrt
Mylar_balloon_(geometry)
angles of arccos ( − 1 4 ) ≈ 104.477 512 185 93 ∘ {\displaystyle \arccos(-{\frac {1}{4}})\approx 104.477\,512\,185\,93^{\circ }} and arccos ( 1 4 )
Small_triambic_icosahedron
Mathematics problem
{r_{1}+r_{2}}{P}}\,\!} ⇒ φ = arccos ( r 1 + r 2 P ) {\displaystyle \Rightarrow \varphi =\arccos \left({\frac {r_{1}+r_{2}}{P}}\right)\,\
Belt_problem
Four-bar straight-line mechanism
= arccos ( 4 5 ) ≈ 36.8699 ∘ . {\displaystyle \varphi _{\text{min}}=\arccos \left({\frac {4}{5}}\right)\approx 36.8699^{\circ }.\,} φ max = arccos
Chebyshev_linkage
Mixing (superposition) of atomic orbitals
4 Tetrahedral sp3 hybridisation (109.5°) CCl4 Interorbital angles θ = arccos ( − 1 x ) {\displaystyle \theta =\arccos \left(-{\frac {1}{x}}\right)}
Orbital_hybridisation
Recreational mathematics planar boundary and area problem
arccos ( 1 2 r ) + arccos ( 1 − 1 2 r 2 ) − 1 2 r 4 − r 2 . {\displaystyle {\frac {1}{2}}\pi =r^{2}\arccos \left({\frac {1}{2}}r\right)+\arccos \left(1-{\frac
Goat_grazing_problem
Catalan solid with 60 faces
arccos ( ( − 8 + 9 ϕ ) / 18 ) ≈ 68.618 720 931 19 ∘ {\displaystyle \arccos((-8+9\phi )/18)\approx 68.618\,720\,931\,19^{\circ }} and two of arccos
Pentakis_dodecahedron
who won the 1991 Nobel Prize in Chemistry: θ = arccos ( e − T R / T 1 ) {\displaystyle \theta =\arccos(e^{-T_{R}/T_{1}})} The derivation of the Ernst
Ernst_angle
Catalan solid with 48 faces
faces are scalene triangles. Their angles are arccos ( 1 6 − 1 12 2 ) ≈ 87.201 ∘ {\displaystyle \arccos {\biggl (}{\frac {1}{6}}-{\frac {1}{12}}{\sqrt
Disdyakis_dodecahedron
Pseudoazimuthal compromise map projection
}{\operatorname {sinc} \alpha }}} where α = arccos ( cos φ cos λ 2 ) {\displaystyle \alpha =\arccos \left(\cos \varphi \cos {\frac {\lambda }{2}}\right)\
Aitoff_projection
Polynomial equation of degree 3
3 arccos ( 3 q 2 p − 3 p ) − 2 π k 3 ] for k = 0 , 1 , 2. {\displaystyle t_{k}=2\,{\sqrt {-{\frac {p}{3}}}}\,\cos \left[\,{\frac {1}{3}}\arccos \left({\frac
Cubic_equation
Shortest distance between two points on the surface of a sphere
point on the sphere: Δ σ = arccos ( sin ϕ 1 sin ϕ 2 + cos ϕ 1 cos ϕ 2 cos Δ λ ) . {\displaystyle \Delta \sigma ={\arccos }{\bigl (}\sin \phi _{1}\sin
Great-circle_distance
Self-contradiction of majority rule
{\arccos {\frac {1}{3}}}{2\pi }}} (constant quoted in the OEIS). The asymptotic probability of encountering the Condorcet paradox is therefore 3 arccos
Condorcet_paradox
IEEE standard for floating-point arithmetic
{\displaystyle \tan x} arcsin x {\displaystyle \arcsin x} , arccos x {\displaystyle \arccos x} , arctan x {\displaystyle \arctan x} , atan2 ( y ,
IEEE_754
Region around a black hole at which light orbits
r 2 = r s [ 1 + cos ( 2 3 arccos − | a | m ) ] {\displaystyle r_{2}=r_{s}\left[1+\cos \left({\frac {2}{3}}\arccos {\frac {-|a|}{m}}\right)\right]}
Photon_sphere
Rules for computing derivatives of functions
{\displaystyle {\frac {d}{dx}}\cos x=-\sin x} d d x arccos x = − 1 1 − x 2 {\displaystyle {\frac {d}{dx}}\arccos x=-{\frac {1}{\sqrt {1-x^{2}}}}} d d x tan
Differentiation_rules
Polyhedron with 60 faces
solid models. Kite faces have two angles of arccos ( 5 12 − 1 4 5 ) ≈ 98.183 872 491 81 ∘ {\displaystyle \arccos({\frac {5}{12}}-{\frac {1}{4}}{\sqrt {5}})\approx
Great ditrigonal dodecacronic hexecontahedron
Great_ditrigonal_dodecacronic_hexecontahedron
Motion of launched objects due to gravity
)=\cos(2\theta -90^{\circ })} , θ = 45 ∘ + 1 2 arccos ( g d v 2 ) {\displaystyle \theta =45^{\circ }+{\frac {1}{2}}\arccos \left({\frac {gd}{v^{2}}}\right)} (steep
Projectile_motion
Entangled 3-qubit quantum state
Hadamard gate, 2 CNOT gates and an X gate. The angle of rotation is ϕ 3 = 2 arccos ( 1 / 3 ) {\textstyle \phi _{3}=2\arccos \left(1/{\sqrt {3}}\right)} .
W_state
Geometric space with four dimensions
the angle between two non-zero vectors as θ = arccos a ⋅ b | a | | b | . {\displaystyle \theta =\arccos {\frac {\mathbf {a} \cdot \mathbf {b} }{\left|\mathbf
Four-dimensional_space
Archimedean solid with 38 faces
triangles arccos ( 1 3 ( 2 − t 2 ) ) , arccos ( 1 3 ( 1 − 2 t ) ) . {\displaystyle \arccos \left({\frac {1}{\sqrt {3}}}(2-t^{2})\right),\quad \arccos \left({\tfrac
Snub_cube
Set of mathematical rules governing the structure of soap films
do so at an angle of arccos(−1/2) = 120°. These Plateau borders meet in fours at a vertex, at the tetrahedral angle of arccos(−1/3) ≈ 109.47°. Configurations
Plateau's_laws
Polyhedron with 104 faces
{2}{\sqrt {5}}}}}} triangle-triangle angle α 33 = arccos ( 1 3 ( 1 − 2 ρ 2 ) ) {\displaystyle \alpha _{33}=\arccos \left({\tfrac {1}{3}}(1-2\rho ^{2})\right)}
Snub_icosidodecadodecahedron
Japanese multinational corporation
suspect the company would sell off the division. In 2006, Sony started using ARccOS Protection on some of its film DVDs, but later issued a recall. In late
Sony
7th Johnson solid (7 faces)
tetrahedron between two adjacent triangular faces is arccos ( 1 3 ) ≈ 70.5 ∘ {\textstyle \arccos \left({\frac {1}{3}}\right)\approx 70.5^{\circ }} ;
Elongated_triangular_pyramid
Timing of Islamic prayers
α ) = 1 15 arccos ( − sin ( α ) − sin ( ϕ ) sin ( δ ) cos ( ϕ ) cos ( δ ) ) {\displaystyle T(\alpha )={\frac {1}{15}}\arccos \left({\frac
Salah_times
defined as follows: C K ( n , x ) = cos ( n x arccos ( x ) ) {\displaystyle CK(n,x)=\cos(nx\arccos(x))} arccos "Carotid function". paulbourke.net. Weisstein
Carotid–Kundalini_function
Polyhedron with 48 faces
faces. The triangles have one angle of arccos ( 3 4 + 1 8 2 ) ≈ 22.062 191 157 54 ∘ {\displaystyle \arccos({\frac {3}{4}}+{\frac {1}{8}}{\sqrt {2}})\approx
Great_disdyakis_dodecahedron
Polyhedron with 92 faces
angles of arccos ( ξ ) ≈ 75.357 903 417 42 ∘ {\displaystyle \arccos(\xi )\approx 75.357\,903\,417\,42^{\circ }} and one angle of 360 ∘ − arccos ( − ϕ
Great inverted snub icosidodecahedron
Great_inverted_snub_icosidodecahedron
Four-dimensional number system
) = ln ‖ q ‖ + v ‖ v ‖ arccos a ‖ q ‖ . {\displaystyle \ln(q)=\ln \|q\|+{\frac {\mathbf {v} }{\|\mathbf {v} \|}}\arccos {\frac {a}{\|q\|}}.} It follows
Quaternion
Angle between a reference plane and the plane of an orbit
any vector perpendicular to the orbital plane) as i = arccos h z | h | {\displaystyle i=\arccos {\frac {h_{z}}{\left|h\right|}}} where h z {\displaystyle
Orbital_inclination
Formula to estimate the sine function
derive formulas for inverse cosine and inverse sine: arccos x ≈ π 1 − x 4 + x {\displaystyle \arccos x\approx \pi {\sqrt {\frac {1-x}{4+x}}}} { 0 ≤ x ≤
Bhāskara I's sine approximation formula
Bhāskara_I's_sine_approximation_formula
System of complete and orthogonal polynomials
x n ⋅ | x | ⋅ ∫ | x | 1 t − n − 1 t 2 − x 2 ⋅ cos ( n ⋅ arccos ( t ) ) sin ( arccos ( t ) ) d t if 0 < | x | < 1 , ( − 1 ) n / 2 ⋅ 2 − n ⋅ (
Legendre_polynomials
Algebraic operation on coordinate vectors
between two vectors can be defined as θ = arccos ( a ⋅ b ‖ a ‖ ‖ b ‖ ) . {\displaystyle \theta =\operatorname {arccos} \left({\frac {\mathbf {a} \cdot \mathbf
Dot_product
Type of mathematical function
trigonometric functions: arcsin x {\displaystyle \arcsin x} , arccos x {\displaystyle \arccos x} , etc. Hyperbolic functions: sinh x {\displaystyle
Elementary_function
Meteorological phenomenon
= 0. Solving for β yields β max = arccos ( 2 − 1 + n 2 3 n ) ≈ 40.2 ∘ . {\displaystyle \beta _{\text{max}}=\arccos \left({\frac {2{\sqrt {-1+n^{2}}}}{{\sqrt
Rainbow
Plane curve: conic section
{b^{2}}{a}}} and − arccos ( − 1 e ) < φ < arccos ( − 1 e ) . {\displaystyle -\arccos \left(-{\frac {1}{e}}\right)<\varphi <\arccos \left(-{\frac {1}{e}}\right)
Hyperbola
Motion of a body subject only to gravity
π ( y r ( 1 − y r ) + arccos y r ) , {\displaystyle t/t_{\text{ff}}=2/\pi \left({\sqrt {y_{r}\left(1-y_{r}\right)}}+\arccos {\sqrt {y_{r}}}\right)
Free_fall
Mathematical approximation of a function
n ! ) 2 ( 2 n + 1 ) x 2 n + 1 = x + x 3 6 + 3 x 5 40 + ⋯ for | x | ≤ 1 arccos x = π 2 − arcsin x = π 2 − x − x 3 6 − 3 x 5 40 − ⋯ for | x | ≤ 1 arctan
Taylor_series
Result of repeatedly applying a mathematical function
property of Chebyshev polynomials, Tm(Tn(x)) = Tm n(x), since Tn(x) = cos(n arccos(x)). The relation (f m)n(x) = (f n)m(x) = f mn(x) also holds, analogous
Iterated_function
Ways to represent 3D rotations
{\displaystyle Z} -axis) can be obtained as follows: ϕ = atan2 ( A 31 , A 32 ) θ = arccos ( A 33 ) ψ = − atan2 ( A 13 , A 23 ) {\displaystyle {\begin{aligned}\phi
Rotation formulations in three dimensions
Rotation_formulations_in_three_dimensions
Polyhedron with 24 faces
Each antiparallelogram has two angles of arccos ( 1 4 + 1 2 2 ) ≈ 16.842 116 236 30 ∘ {\displaystyle \arccos({\frac {1}{4}}+{\frac {1}{2}}{\sqrt {2}})\approx
Small_rhombihexacron
Any of the five regular polyhedra
{\displaystyle 1 \over {\sqrt {2}}} π {\displaystyle \pi } arccos ( 23 27 ) ≈ 0.551286 {\displaystyle \arccos \left({\frac {23}{27}}\right)\quad \approx 0.551286}
Platonic_solid
Parameterization of a rotation into a unit vector and angle
rotation from the trace of the rotation matrix: θ = arccos ( Tr ( R ) − 1 2 ) {\displaystyle \theta =\arccos \left({\frac {\operatorname {Tr} (R)-1}{2}}\right)}
Axis–angle_representation
Measure in 3-dimensional geometry
the formula Ω = 2 [ arccos ( sin γ sin θ ) − cos θ arccos ( tan γ tan θ ) ] . {\displaystyle \Omega =2\left[\arccos \left({\frac {\sin \gamma
Solid_angle
Polyhedron with 60 faces
equal angles of arccos ( ξ ) ≈ 115.682 268 170 75 ∘ {\displaystyle \arccos(\xi )\approx 115.682\,268\,170\,75^{\circ }} and one of arccos ( ϕ − 2 ξ −
Small hexagonal hexecontahedron
Small_hexagonal_hexecontahedron
Polyhedron with 30 faces
arccos ( 1 5 5 ) ≈ 63.434 948 822 92 ∘ {\displaystyle \arccos({\frac {1}{5}}{\sqrt {5}})\approx 63.434\,948\,822\,92^{\circ }} , and two of arccos
Great_rhombic_triacontahedron
Polyhedron with 20 faces
angle of arccos ( 3 4 ) ≈ 41.409 622 109 27 ∘ {\displaystyle \arccos({\frac {3}{4}})\approx 41.409\,622\,109\,27^{\circ }} , one of arccos ( 1 6 +
Cubitruncated_cuboctahedron
Spaceflight where the spacecraft does not go into orbit
θ 1 + sin θ + 1 2 cos θ sin θ ) 2 R g = ( ( 1 + sin θ 2 ) 3 2 arccos cos θ 1 + sin θ + 1 2 cos θ sin θ ) 2 R g {\displaystyle
Sub-orbital_spaceflight
Approximate multiplication and division using formulas from trigonometry
Inverse cosine: arccos 0.309 ≈ 72 ∘ {\displaystyle \arccos 0.309\approx 72^{\circ }} , and arccos 0.788 ≈ 38 ∘ {\displaystyle \arccos 0.788\approx 38^{\circ
Prosthaphaeresis
Mathematical concept
function Range of usual principal value arcsin −π/2 ≤ sin−1(x) ≤ π/2 arccos 0 ≤ cos−1(x) ≤ π arctan −π/2 < tan−1(x) < π/2 arccot 0 < cot−1(x) <
Inverse_function
Polyhedron with 60 faces
equal angles of arccos ( ξ ) ≈ 112.175 128 045 27 ∘ {\displaystyle \arccos(\xi )\approx 112.175\,128\,045\,27^{\circ }} , one of arccos ( ϕ 2 ξ + ϕ
Medial hexagonal hexecontahedron
Medial_hexagonal_hexecontahedron
Catalan solid with 60 faces
arccos ( − ξ / 2 ) ≈ 118.136 622 758 62 ∘ {\displaystyle \arccos(-\xi /2)\approx 118.136\,622\,758\,62^{\circ }} , and the acute one equals arccos
Pentagonal_hexecontahedron
Family of map projections
φ 0 {\displaystyle S=\cos ^{2}\varphi _{0}} φ 0 = arccos S {\displaystyle \varphi _{0}=\arccos {\sqrt {S}}} The specializations differ only in the
Cylindrical equal-area projection
Cylindrical_equal-area_projection
Collection of wax cells built by honeybees
apex, known as the tetrahedral angle, is approximately 109° 28' 16" (= arccos(−1/3)) The shape of the cells is such that two opposing honeycomb layers
Honeycomb
Polyhedron with 30 faces
arccos ( 1 3 5 ) ≈ 41.810 314 895 78 ∘ {\displaystyle \arccos({\frac {1}{3}}{\sqrt {5}})\approx 41.810\,314\,895\,78^{\circ }} , and two of arccos
Medial rhombic triacontahedron
Medial_rhombic_triacontahedron
Convex polyhedron with 14 triangle faces
arccos ( − 1 3 ) ≈ 109.5 ∘ , π 2 + 1 2 arccos ( − 1 3 ) ≈ 144.7 ∘ , π 3 + arccos ( − 1 3 ) ≈ 169.5 ∘ . {\displaystyle {\begin{aligned}\arccos \left(-{\frac
Triaugmented_triangular_prism
ARCCOS
ARCCOS
ARCCOS
ARCCOS
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Skilled Musician
Girl/Female
Arabic, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Sindhi, Telugu
Warmth
Boy/Male
British, English, German, Teutonic
Supports Peace; Peace
Boy/Male
Tamil
Coral, Fierce, Strong
Surname or Lastname
English
English : unexplained.
Girl/Female
Tamil
The earth, Stable
Boy/Male
Greek
Son of Poseidon.
Girl/Female
Indian, Punjabi, Sikh
Temple of Peace
Male
Italian
Italian form of Latin Amadeus, AMADEO means "to love God."
Girl/Female
Hindu
ARCCOS
ARCCOS
ARCCOS
ARCCOS
ARCCOS