Mathematics | Course : Model Advanced Quantitative Reasoning (Advanced Course)
Domain - Trigonometric Functions
Cluster - Model periodic phenomena with trigonometric functions.
[AQR.F-TF.B.7] - (+) Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.*
- Inverse function
A function obtained by expressing the dependent variable of one function as the independent variable of another; that is the inverse of y = f(x) is x = f –1(y).
[AI.F-BF.B.4] -
Find inverse functions algebraically and graphically.
[AI.F-BF.B.4.a] -
Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.
[AII.F-TF.B.5] -
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
[MII.F-BF.B.4] -
Find inverse functions algebraically and graphically.
[MII.F-BF.B.4.a] -
Solve an equation of the form f(x) = c for a linear function f that has an inverse and write an expression for the inverse.
[MIII.F-TF.B.5] -
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*
[PC.F-BF.B.4] -
Find inverse functions.
[PC.F-BF.B.4.b] -
(+) Verify by composition that one function is the inverse of another.
[PC.F-BF.B.4.c] -
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
[PC.F-BF.B.4.d] -
(+) Produce an invertible function from a non-invertible function by restricting the domain.
[PC.F-TF.B.6] -
(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.