high School3 min

Sin and Cos Comparison

Relationship between sin and cos

Not Started
sin(x)cos(x)

Key properties

  • cos(x) = sin(x + π/2)
  • Both have period 2π
  • sin = cos when x = π/4 + nπ
  • Yellow dots: intersections

Cosine is sine shifted π/2 (90°) to the left. On the unit circle, cos corresponds to x-axis, sin to y-axis.