Several example codes

About the program

This Python program reads n and computes the following series:
∑ [sin(yᵢ) / (cos(yᵢ) · cos(yᵢ₊₁))] for i from 1 to n
Here we assume yᵢ = i, with angles in radians.

Python code:

import math

def trig_series(n: int) -> float:
    total = 0.0
    for i in range(1, n + 1):
        y_i = i
        y_next = i + 1
        numerator = math.sin(y_i)
        denominator = math.cos(y_i) * math.cos(y_next)
        if denominator == 0:
            raise ValueError(f"Division by zero at term i={i}")
        total += numerator / denominator
    return total

# Read the input from the user
n = int(input("Enter n: "))
try:
    result = trig_series(n)
    print(f"The series result is: {result:.6f}")
except ValueError as e:
    print(f"Calculation error: {e}")

Sample output (input: n = 3):

The series result is: -1.317240