Modern Math CCos

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CCos

Returns the cosine of a complex number.

Syntax

CCos( byref z as Complex ) as Complex

Notes

• cos(re)·cosh(im) - i·sin(re)·sinh(im), written out directly.
• Even: CCos( -z ) is CCos( z ).
• Overflows for a large imaginary part, like CSin and for the same reason.
• Spelled with the C prefix because, when this library was a header in namespace FB, a function of the unprefixed name shadowed the intrinsic for every later header — measured, it broke what is now random.tiko — after which the intrinsic could not be called back. The name stayed when the header became std/numeric.

Examples

#import "std/numeric"
using numeric

dim as Complex z = CSet( 3, 4 )

print CToString( CCos( CZero( ) ) )  '' 1-0i   -- exactly one
print CToString( CCos( z ) )         '' -27.034945603074224-3.8511533348117775i
print CToString( CCos( -z ) )        '' -27.034945603074224-3.8511533348117775i   -- even

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Library: Math Library
Category: Math Library
Documented under: Members