Trigonometry — AMC & AIME Practice Problems | LIVE by Po-Shen Loh

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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 of these problems are used with official legal permission of the Mathematical Association of America (MAA).

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

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

More geometry concepts

3D geometry altitude angle bisector angle bisector theorem angle chasing angle sum annulus arc area area decomposition area ratio Brahmagupta’s Formula centroid chord circle circle area circumcircle, circumcenter, and circumradius circumference cone congruence (geometry)coordinate geometry cube geometry cyclic quadrilateral cylinder diagonal distance formula ellipse equiangular polygon equilateral triangle Euler’s Polyhedron Formula Heron’s Formula homothety hyperbola incircle, incenter, and inradius inscribed angle isosceles triangle kite lattice point law of cosines law of sines mass points median (geometry)midpoint net (3D geometry)paper folding parabola parallel lines parallelogram perimeter perpendicular bisector Pick’s Theorem polyhedron power of a point power scaling of length, area, and volume Ptolemy’s Theorem pyramid Pythagorean Theorem Pythagorean Triple radical axis rectangle rectangular prism reflection (geometry)regular polygon rhombus right triangle sector shoelace formula similarity special right triangle sphere square (geometry)Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity vector Viviani’s Theorem volume