The study of trigonometric functions serves as a cornerstone in mathematics, providing a means to represent angles numerically. The six primary trigonometric functions—sine, cosine, tangent, cosecant, secant, and cotangent—define relationships between the sides of a right-angled triangle and resonate throughout various mathematical and scientific domains. Visualizing these functions through trigonometric graphs reveals their periodic nature, amplitude, and phase shifts. Additionally, trigonometr