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ArcCos

ArcCos[z]
gives the arc cosine of the complex number .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • All results are given in radians.
  • For real between and , the results are always in the range to .
  • For certain special arguments, ArcCos automatically evaluates to exact values.
  • ArcCos can be evaluated to arbitrary numerical precision.
  • ArcCos automatically threads over lists.
  • ArcCos[z] has branch cut discontinuities in the complex plane running from to and to .
Results are in radians:
Results are in radians:
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Evaluate numerically:
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
The precision of the output can be much less than the precision of the input:
Simple exact values are generated automatically:
ArcCos threads element-wise over lists and matrices:
TraditionalForm formatting:
ArcCos can deal with real-valued intervals from :
Infinite arguments give symbolic results:
ArcCos can be applied to power series:
Find series expansions at branch points and branch cuts:
ArcCos threads over explicit lists as well as over sparse arrays:
ArcCos is a numerical function:
Plot the real and imaginary part of ArcCos:
Plot the Riemann surface of ArcCos:
Find the angle between two vectors:
Compose with the inverse function:
Use PowerExpand to disregard multivaluedness of the ArcCos:
Alternatively, evaluate under additional assumptions:
Use TrigToExp to express ArcCos through logarithms and square roots:
This shows the branch cuts of the ArcCos function:
Expand assuming real variables:
Solve an inverse trigonometric equation:
Solve for zeros:
Integrals:
Laplace transforms:
ArcCos is automatically returned as a special case for various mathematical functions:
Generically :
On branch cuts, machine-precision inputs can give numerically wrong answers:
In traditional form, parentheses are needed around the argument:
Nested integrals:
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