The graphs of sine, cosine and tangent functions

Mathematics

Sine graph, y = sin x

Cosine graph, y = cos x

Tangent graph, y = tan x

Formula calculating amplitude

Use a formula or use a period

The change in the value of a in y = a sin bx + c

Changes in maximum and minimum values

The change in the value of a in y=a tan bx + c

If the value of a changes, • Graph curvature changes • No amplitude

The change in the value of a in y=a cos bx + c

If the value of a changes, • Maximum and minimum values change • Amplitude of function = a

Corresponding reference angles for quadrant II

Corresponding reference angles for quadrant III

Corresponding reference angles for quadrant IV