Math basics › Trigonometry

Graphs of sine and cosine

y = a sin(b(x − c)) + d

|a| is the amplitude, the period is 2π/b, c shifts it sideways and d shifts it up.

Sine and cosine are the same wave

Cosine is sine shifted left by π/2. Sine starts at 0, cosine starts at its maximum.

Tangent is different

Period π, no amplitude, and vertical asymptotes wherever cos = 0.