1, in y=Asin(ωx+φ), a is called amplitude; ωx+φ is called phase; The phase when x=0 (ωx+φ=0+φ=φ) is called the initial phase.

2. There are specific functions to check. Y is a function of x, and a, ω and φ are fixed values.

Extended data

Sinx function y = sinx cosine function y=cosx

1, monotone interval

Sine function monotonically increases on [-π/2+2kπ, π/2+2kπ] and monotonically decreases on [π/2+2kπ, 3π/2+2kπ].

Cosine function monotonically increases on [-π+2kπ, 2kπ] and monotonically decreases on [2kπ, π+2kπ].

2. Parity

The sine function is odd function.

Cosine function is an even number function.

3. Symmetry

The sine function is symmetric about x=π/2+2kπ axis and symmetric about (kπ, 0) center.

Cosine function is symmetric about x=2kπ and symmetric about the center of (π/2+kπ, 0).

4. periodicity

The period of sine and cosine functions is 2π.