Trigonometric identity — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Trigonometric identity — 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).
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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 12
1971 AMC 12 Problem 31 • 1972 AMC 12 Problem 20 • 1973 AMC 12 Problem 17 • 1973 AMC 12 Problem 35 • 1974 AMC 12 Problem 22 • 1975 AMC 12 Problem 30 • 1976 AMC 12 Problem 17 • 1977 AMC 12 Problem 16 • 1977 AMC 12 Problem 30 • 1978 AMC 12 Problem 15 • 1979 AMC 12 Problem 20 • 1980 AMC 12 Problem 12 • 1980 AMC 12 Problem 18 • 1981 AMC 12 Problem 24 • 1982 AMC 12 Problem 22 • 1982 AMC 12 Problem 23 • 1983 AMC 12 Problem 11 • 1984 AMC 12 Problem 15 • 1984 AMC 12 Problem 23 • 1985 AMC 12 Problem 16 • 1985 AMC 12 Problem 28 • 1991 AMC 12 Problem 21 • 1999 AMC 12 Problem 15 • 1999 AMC 12 Problem 27 • 2004 AMC 12A Problem 21 • 2004 AMC 12B Problem 24 • 2005 AMC 12B Problem 24 • 2006 AMC 12A Problem 19 • 2006 AMC 12B Problem 24 • 2007 AMC 12A Problem 17 • 2008 AMC 12A Problem 24 • 2009 AMC 12A Problem 25 • 2010 AMC 12B Problem 20 • 2011 AMC 12B Problem 14 • 2013 AMC 12B Problem 20 • 2014 AMC 12B Problem 25 • 2016 AMC 12A Problem 21 • 2017 AMC 12B Problem 7 • 2018 AMC 12A Problem 9 • 2019 AMC 12B Problem 12 • 2021 AMC 12A Spring Problem 19 • 2021 AMC 12B Fall Problem 13 • 2021 AMC 12B Fall Problem 21 • 2022 AMC 12A Problem 17 • 2022 AMC 12B Problem 24 • 2024 AMC 12A Problem 10 • 2024 AMC 12A Problem 23 • 2024 AMC 12B Problem 11 • 2024 AMC 12B Problem 19 • 2024 AMC 12B Problem 21 • 2025 AMC 12A Problem 16 • 2025 AMC 12B Problem 16
AIME
1984 AIME Problem 13 • 1985 AIME Problem 9 • 1986 AIME Problem 3 • 1989 AIME Problem 10 • 1991 AIME Problem 9 • 1991 AIME Problem 14 • 1995 AIME Problem 7 • 1995 AIME Problem 9 • 1996 AIME Problem 10 • 1996 AIME Problem 15 • 1997 AIME Problem 11 • 1997 AIME Problem 14 • 1999 AIME Problem 11 • 1999 AIME Problem 14 • 2000 AIME I Problem 14 • 2000 AIME II Problem 10 • 2000 AIME II Problem 15 • 2001 AIME I Problem 13 • 2002 AIME II Problem 15 • 2003 AIME I Problem 4 • 2003 AIME I Problem 11 • 2005 AIME II Problem 9 • 2005 AIME II Problem 12 • 2006 AIME I Problem 8 • 2006 AIME I Problem 12 • 2007 AIME I Problem 9 • 2008 AIME I Problem 8 • 2008 AIME II Problem 8 • 2008 AIME II Problem 11 • 2009 AIME II Problem 10 • 2009 AIME II Problem 14 • 2011 AIME I Problem 9 • 2011 AIME I Problem 14 • 2012 AIME II Problem 9 • 2012 AIME II Problem 13 • 2013 AIME II Problem 15 • 2014 AIME II Problem 12 • 2015 AIME I Problem 11 • 2015 AIME I Problem 13 • 2015 AIME II Problem 13 • 2016 AIME I Problem 9 • 2016 AIME II Problem 14 • 2017 AIME I Problem 15 • 2018 AIME I Problem 13 • 2019 AIME I Problem 8 • 2020 AIME II Problem 13 • 2022 AIME I Problem 15 • 2022 AIME II Problem 15 • 2023 AIME I Problem 5 • 2023 AIME II Problem 13 • 2024 AIME I Problem 7 • 2025 AIME II Problem 14