Fun with Trigonometry

Demystifying a schoolboy problem

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Introduction

pic Trigonometry dates back to the ancient Greek astronomer mathematicians and has been studied for centuries by students all over the world. If like me your experiences of the subject go back to the middle of the last century and the finer points are still somewhat shrouded in mystery - take up this nostalgic challenge and brush up with these basic exercises. Derive from first principles the formulae for the Sine, Cosine, and Tangent of compound angles (select the appropriate link):-

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Palfreyman - September 2016

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picFarthingale Publications: ..... Is a hobby web site containing articles of local interest to Lancastrians, some favourite walking and cycling routes, selected words and poetry, and some writings of more general nature as well as the authors own picture gallery. Access is available via the homepage and menu at the head of the page or via one of the direct links below.


picLocal Interest: Richmond Hill Dairies; Mind Your Language; John Lancaster Wigan MP; Thomas Aspinwall Miners Agent; Thomas Aspinwall Obituary; Upholland Telephone Exchange; Thomas Linacre School Wigan; God's Choir; Scot Lane School Wigan; The Lindsays of Haigh; Dust Upon God’s Fair Earth; The Nurburgring 1960; Wigan Advertisements 1960; Wigan Soldier Missing in Action; It’s a Funny Life; Private Thomas Whitham VC; Isaac Watts 1674 - 1748; Wigan Old Bank 1792; The Brocklebank Line; John Byrom 1692 - 1793; The Holy City Liverpool; Jubilee Park Memorial, Ashton in Makerfield; Little Ships at War 1918; A Cricket Calypso; Not Much of a Warrior; Peveril of the Peak.
Walking & Cycling: Moss Eccles Tarn; Abbey Lakes to Coppull Moor; Chorley Ice Cream Walk; Douglas Valley Dawdle; Three Counties Cycle Ride; Haigh to Borsdane Wood; A Lancshire Linear Walk; Blackrod or Bust; Cycle the Sankey Valley; Cycle the Monsal Trail; Wigan Circular by Bike; Freshfield to Crosby; Irwell Valley Trail (Bury to Rawtenstall); Irwell Valley (Bury to Salford).
Words & Poetry: Only a Cranky Owd Foo'; Martin Chuzzlewit; Dover Harbour; Rogue Herries; The Heart of Midlothian; King Cotton; The Family Man; The Pickwick Papers; The Fair Rosamond; The Fair Rosamond Comic; A Legend of Montrose; When Winds Breathe Soft; The Wreck of the Hesperus; God Bless these Poor Wimmen that's Childer; Dombey and Son; Aw've Turned me bit O' Garden O'er; On Th' Hills; Four Favourite Poems; The Darkling Thrush; The Glory of the Garden; The Rolling English Road; The Antiquary; Hymn Before Action; Dust upon God's Fair Earth; Mind Your Language; Jeff Unsworth’s dialect poetry; Martyrs of the Arena; Th' Coartin' Neet; Boat Song; Toddlin' Whoam; A Lancashire Mon; Calm is the Sea; The Bride of Lammermoor; Redgauntlet; A Tale of Two Cities.
Wallgate Chronicles: Hugo Boss comes to Wigan; In the footsteps of the Manchester Rambler; Fun with Trigonometry; Surprise at the Philharmonic; The Marriage of Figaro; Cat Bells; A Walk in the Hills; Eay Times Uv Changed; Fidelio; The Ravioli Room; Desert Island Discs; Travels in Time 1960; Travels in Time 2010; The Spectroscope; The Bohemian Girl; Bookcase; Barnaby Rudge; Romance on a Budget; The Battle of Solferino; The Getaway Car; The Switchroom Wigan; The Force of Destiny; Adolphe Adam; The Fair Maid of Perth; Ivanhoe; Semele; Lohengrin; The Old Curiosity Shop; Hard Times.