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Use after giving prior introduction of both trig and inverse functions before combining them here.
This is for presentation and practice. Practice is where the so-called bugs are worked out and often where and when concepts solidify.
For group class work or project, individual class work or project, homework, or precalc exam question material, notably problem 10. Problem 12 pushes the limit for typical high schoolers and is excellent for classroom presentation to advanced students, or supplemental material if needed.
The problem set uses core concepts for high value learning.