5.1 Graphs of Sine, Cosine, and Tangent Functions

here's an interesting song! haha:) it's quite entertaining! Well, that is the primary trigonometry identities: [SOH,CAH,TOA]
Sin x = Opposite / Hypotenuse
Cos x = Adjacent / Hypotenuse
Tan x = Opposite / Adjacent

• Basic graphs of trigonometric functions are:

Sine Graph

Cosine Graph

Tangent Graph

• Graphs y = sin x, y = cos x, y = tan x are periodic.

 

Original Graph	y = sin x	y = cos x	y = tan x
+ vertical translation v  Moves upward/downwards by c units	y = sin x + c	y = cos x + c
+ amplitude v  Amplitude increases/decreases by a factor	y = a sin x	y = a cos x	No amplitude because there is no max/min value
+ phase shift v  Shifts by d units to the left/right	y = sin (x-d)	y = cos (x-d)
+ period (k-value) v  Number of cycles in one period	y = sin kx	y = cos kx	π