Complex trig functions (z = 0)

Complex valued special functions about a point.

boring_math.special_functions.ctrig0.csin0(z: complex, /, n: int = 20) → complex

Partially factored Taylor expansion of sine about z = 0.

Note

Best if |z| <= 2π and n >= 20.

Parameters:

• z – independent variable

• n – terms in expansion, must have 2 <= n <= 84

Returns:

Taylor series expansion of sine(x) centered at z = 0.

boring_math.special_functions.ctrig0.ccos0(z: complex, /, n: int = 20) → complex

Partially factored Taylor expansion of cosine about z = 0.

Note

Best if |z| <= 2π and n >= 22.

Parameters:

• z – independent variable

• n – terms in expansion, must have 2 <= n <= 84

Returns:

Taylor series expansion of cosine(z) centered at z = 0

boring_math.special_functions.ctrig0.ctan0(z: complex, /, n: int = 20) → complex

Tangent centered about z = 0.

Note

Best if |z| <= π and n >= 20.

Parameters:

• z – Independent variable.

• n – Terms in expansion, must have 2 <= n <= 84.

Returns:

The value csin0(z)/ccos0(z).