K12worX
Back to Restrict domain for inverse trig functions — Problem 3 · Task Set 73

HSF.TF.B.6 Tutor Intake — Inverse Trig Domain Restrictions

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

Grade 9·11 problems·~14 min·Common Core Math - HS Functions·group·hsf-tf-b-6
Work through problems with immediate feedback
A

Concepts

1.

Sine restricted to [π2,3π2]\left[\tfrac{\pi}{2}, \tfrac{3\pi}{2}\right] is
strictly   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   on that interval, which means it is one-to-one and could
serve as a valid (though non-standard) domain restriction for defining
an inverse sine function.

behavior of sine on the interval: