Solve trigonometric equations

Start lessonBegins with Isolate and principal solution · Slides

Teacher tools for this standard

Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.TF.B.7

**HSF.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.

HSF.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.

What you'll learn

Isolate the trigonometric expression in an equation arising from a modeling context
Apply arcsin, arccos, or arctan to find a principal solution to a trigonometric equation
Use periodicity and symmetry to find all solutions within a specified interval
Use technology (calculator) to evaluate inverse trig functions for non-standard values
Interpret solutions in terms of the real-world context (e.g., "the height reaches 40 feet at t = 2.3 minutes")
Determine which solutions are meaningful in the modeling context and discard extraneous ones

Review first: