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Haversine

Haversine[z]
gives the haversine function .
MORE INFORMATION
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The haversine function is defined by .
  • The argument of haversine is assumed to be in radians. (Multiply by Degree to convert from degrees.)
  • Haversine[z] is the entire function of z with no branch cut discontinuities.
  • Haversine can be evaluated to arbitrary numerical precision.
EXAMPLESCLOSE ALL
Scope   (6)
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to arbitrary precision:
The precision of the output tracks the precision of the input:
Evaluate exactly:
Haversine threads element-wise over lists:
TraditionalForm formatting:
Generalizations & Extensions   (1)
Haversine can be applied to a power series:
Applications   (1)
Distance between two points on a sphere:
Distance between two cities in kilometers (assuming spherical Earth):
Properties & Relations   (2)
Derivative of haversine function:
Integral of haversine function:
Use FunctionExpand to expand Haversine in terms of standard trigonometric functions:
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