





from __future__ import annotations

import math
from collections.abc import Callable






def     lowerCamelCase__			(__lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase = 100,       ):
     _SCREAMING_SNAKE_CASE       :	Dict						    =							x_start
     _SCREAMING_SNAKE_CASE       :	Any						    =							fnc(__lowerCamelCase	)
     _SCREAMING_SNAKE_CASE       :	Any						    =							0.0

     for _ in range(__lowerCamelCase	):
          # Approximates curve as a sequence of linear lines and sums their length
          _SCREAMING_SNAKE_CASE       :	List[str]						    =							(x_end - x_start) / steps + xa
          _SCREAMING_SNAKE_CASE       :	Optional[Any]						    =							fnc(__lowerCamelCase	)
          length += math.hypot(xa - xa,       fxa - fxa	)

          # Increment step
          _SCREAMING_SNAKE_CASE       :	Tuple						    =							xa
          _SCREAMING_SNAKE_CASE       :	int						    =							fxa

     return length


if __name__ == "__main__":






       def     lowerCamelCase__			(__lowerCamelCase	):
            return math.sin(10 * x	)

       print('f(x) = sin(10 * x)')
       print('The length of the curve from x = -10 to x = 10 is:')
       UpperCamelCase__      =10
       while i <= 10_0000:
              print(f"With {i} steps: {line_length(f, -10, 10, i)}")
              i *= 10






import cmath
import math






def     lowerCamelCase__			(__lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase	):
     _SCREAMING_SNAKE_CASE       :	Any						    =							math.radians(__lowerCamelCase	)
     _SCREAMING_SNAKE_CASE       :	Tuple						    =							math.radians(__lowerCamelCase	)

     # Convert voltage and current to rectangular form
     _SCREAMING_SNAKE_CASE       :	str						    =							cmath.rect(__lowerCamelCase,       __lowerCamelCase	)
     _SCREAMING_SNAKE_CASE       :	str						    =							cmath.rect(__lowerCamelCase,       __lowerCamelCase	)

     # Calculate apparent power
     return voltage_rect * current_rect


if __name__ == "__main__":
       import doctest

       doctest.testmod()