Common Core · High school
HSF-TF.B.6
High school — Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
A note on this mapping: HSF-TF.B.6 is a (+) standard — beyond the college- and career-ready threshold, i.e. precalculus rather than Algebra II.
The skill that covers it
What a student should be able to do
- Evaluate arcsin, arccos and arctan exactly for the special ratios, in radians and degrees.
- State the domain and range of each inverse trigonometric function and explain why arcsin(sin t) is not always t.
- Evaluate a composition such as sin(arccos(3/5)) or tan(arcsin x) exactly.
- Use an inverse trigonometric function to find the angle in an applied problem or an equation.