Trigonometry — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Trigonometry — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 10
2011 AMC 10B Problem 18 • 2014 AMC 10B Problem 15 • 2019 AMC 10B Problem 16 • 2021 AMC 10B Fall Problem 18
AMC 12
1960 AMC 12 Problem 40 • 1961 AMC 12 Problem 32 • 1962 AMC 12 Problem 18 • 1967 AMC 12 Problem 13 • 1972 AMC 12 Problem 14 • 1972 AMC 12 Problem 27 • 1972 AMC 12 Problem 30 • 1974 AMC 12 Problem 22 • 1976 AMC 12 Problem 17 • 1979 AMC 12 Problem 24 • 1981 AMC 12 Problem 18 • 1982 AMC 12 Problem 18 • 1982 AMC 12 Problem 22 • 1983 AMC 12 Problem 5 • 1985 AMC 12 Problem 10 • 1985 AMC 12 Problem 16 • 1986 AMC 12 Problem 27 • 1987 AMC 12 Problem 30 • 1988 AMC 12 Problem 24 • 1989 AMC 12 Problem 13 • 1989 AMC 12 Problem 14 • 1989 AMC 12 Problem 28 • 1990 AMC 12 Problem 21 • 1996 AMC 12 Problem 17 • 1996 AMC 12 Problem 30 • 1998 AMC 12 Problem 19 • 1998 AMC 12 Problem 28 • 1999 AMC 12 Problem 18 • 2000 AMC 12 Problem 17 • 2003 AMC 12B Problem 21 • 2003 AMC 12B Problem 23 • 2006 AMC 12A Problem 15 • 2006 AMC 12A Problem 22 • 2007 AMC 12A Problem 24 • 2007 AMC 12B Problem 19 • 2008 AMC 12B Problem 15 • 2009 AMC 12B Problem 24 • 2010 AMC 12A Problem 24 • 2010 AMC 12B Problem 13 • 2011 AMC 12A Problem 25 • 2012 AMC 12A Problem 10 • 2012 AMC 12B Problem 25 • 2014 AMC 12A Problem 12 • 2014 AMC 12B Problem 21 • 2017 AMC 12A Problem 15 • 2020 AMC 12A Problem 9 • 2021 AMC 12A Spring Problem 19 • 2021 AMC 12B Spring Problem 13 • 2021 AMC 12B Spring Problem 24 • 2021 AMC 12A Fall Problem 14 • 2021 AMC 12A Fall Problem 19 • 2021 AMC 12B Fall Problem 8 • 2021 AMC 12B Fall Problem 15 • 2022 AMC 12B Problem 14 • 2023 AMC 12A Problem 11 • 2023 AMC 12A Problem 15 • 2024 AMC 12A Problem 8 • 2024 AMC 12A Problem 18 • 2025 AMC 12A Problem 24 • 2025 AMC 12B Problem 24
AIME
1983 AIME Problem 9 • 1988 AIME Problem 7 • 1991 AIME Problem 4 • 1991 AIME Problem 14 • 1992 AIME Problem 7 • 1995 AIME Problem 9 • 1997 AIME Problem 15 • 2002 AIME II Problem 10 • 2005 AIME I Problem 11 • 2005 AIME II Problem 14 • 2008 AIME I Problem 8 • 2008 AIME II Problem 14 • 2012 AIME I Problem 12 • 2013 AIME I Problem 14 • 2013 AIME II Problem 8 • 2014 AIME I Problem 10 • 2015 AIME I Problem 15 • 2016 AIME I Problem 4 • 2016 AIME II Problem 7 • 2017 AIME I Problem 8 • 2018 AIME I Problem 6 • 2018 AIME I Problem 15 • 2019 AIME II Problem 10 • 2020 AIME I Problem 13 • 2021 AIME I Problem 7 • 2021 AIME II Problem 5 • 2021 AIME II Problem 10 • 2021 AIME II Problem 12 • 2023 AIME I Problem 12 • 2023 AIME II Problem 3 • 2024 AIME I Problem 8 • 2024 AIME II Problem 10 • 2024 AIME II Problem 12 • 2025 AIME II Problem 9 • 2026 AIME I Problem 5 • 2026 AIME I Problem 14