التحويلات المثلثية للجيب وجيب التمام

المفاهيم

Graphs of Trigonometric Functions

The graphs of $y = \sin x$, $y = \cos x$, and $y = \tan x$, and how amplitude, period, phase shift, and midline change with the general form $y = A\sin(Bx - C) + D$.

Sinusoidal Modeling

Using sine or cosine functions to model periodic real-world phenomena such as temperature cycles, tides, and circular motion. Determine the amplitude, period, phase shift, and midline from the data.

Function Transformations

A unified framework for transforming any function's graph: horizontal and vertical shifts, reflections over the axes, and horizontal and vertical stretches/compressions. The order of transformations matters.