mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Arctan

Prove that \(\arctan(1)+\arctan(2)+\arctan(3)=\pi\).

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXXVIII,
puzzles about trigonometry, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

functions taxicab geometry chocolate routes volume multiplication consecutive numbers arrows division expansions median sum to infinity 3d shapes ave crossnumber partitions crossnumbers matrices digital clocks people maths perimeter crosswords floors probabilty games speed means area polynomials digits christmas remainders tiling geometry dominos surds trigonometry tournaments clocks 2d shapes percentages odd numbers sums factorials palindromes symmetry digital products hexagons averages dodecagons graphs money planes geometric means elections chalkdust crossnumber unit fractions the only crossnumber sequences wordplay ellipses products pentagons folding tube maps proportion quadrilaterals square numbers irreducible numbers probability coins fractions gerrymandering decahedra calculus complex numbers binary bases perfect numbers circles advent cubics logic addition triangle numbers range star numbers sets triangles rectangles determinants shapes numbers number prime numbers parabolas factors geometric mean time dates quadratics coordinates combinatorics indices lines dice balancing integration chess cube numbers pascal's triangle algebra sport spheres colouring square roots shape cryptic crossnumbers rugby consecutive integers squares albgebra books multiples mean tangents menace axes doubling grids integers regular shapes angles cards differentiation scales even numbers cryptic clues polygons

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024