trigonometric_identity_holds_true.py

import sympy as sp

# Define symbols
alpha, beta = sp.symbols('alpha beta')

# Define the identity
lhs = sp.tan(alpha + beta)
rhs = (sp.tan(alpha) + sp.tan(beta)) / (1 - sp.tan(alpha) * sp.tan(beta))

# Check if the identity holds true
identity_holds = sp.simplify(lhs - rhs) == 0
print("Does the identity hold true?", identity_holds)


# Answer: Does the identity hold true? True


# tan(alpha + beta) = (tan(alpha) + tan(beta)) / (1 - tan(alpha) * tan(beta))