Principal Values (continued)
The graphs of these specific functions with principal values are just portions of the graphs you created for the sine, cosine, and tangent functions. The domain of these functions is listed in their definitions.
Like sine, cosine, and tangent, these functions (Sine, Cosine, and Tangent) also have inverses.
y = Sin(x) has an inverse y = Sin-1 or y = Arc sin(x).
y = Cos(x) has an inverse y = Cos-1 or y = Arc cos(x).
y = Tan(x) has an inverse y = Tan-1 or y = Arc tan(x).
The following is a summary of these functions, including their domain and range:
Function | Domain | Range |
y = Sin(x) | ||
y = Arc sin(x) | ||
y = Cos(x) | ||
y = Arc cos(x) | ||
y = Tan(x) | ||
y = Arc tan(x) |