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Mistake Master · AP Precalculus · Unit 3 · Step-Through Animation

The Inverse Gives You One. Go Get The Rest.

You'll learnto find every solution of a trig equation, not just the one the calculator returns.

A trig equation is never one equation. The wave crosses your target height twice per turn and then does it again, forever. Your calculator hands back a single angle and stops. Watch where the others hide: symmetry finds the partner, periodicity mass-produces the family, and one careless division quietly buries a solution that was there all along.

8 STEPS · 6 QUICK CHECKS · INVERSE · SYMMETRY · PERIOD · FACTOR-NEVER-DIVIDE · v2

radians throughout
Before you start
What you're looking at
A target height crossing the wave twice per turn, beside a procedure strip for collecting all solutions.
The question
The calculator hands back one angle — where are the rest?
Watch for
Reference angle, then all matches in one cycle, then whole periods added — and factoring instead of dividing to avoid losing a root.
Step 1 / 8