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SASP

SASP. Maths Toolkit I : Triangles. Maths Toolkit I : Triangles. Often used maths skill in forces A level. Projectile motion and combination/resolution of forces into horizontal/vertical components Pythagoras’ Theorem SOCCAHTOA and right angled triangles

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SASP

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  1. SASP Maths Toolkit I : Triangles

  2. Maths Toolkit I : Triangles Often used maths skill in forces A level. Projectile motion and combination/resolution of forces into horizontal/vertical components • Pythagoras’ Theorem • SOCCAHTOA and right angled triangles • Cosine Rule (not always needed/used but useful to know)

  3. Pythagoras’ Theorem The Pythagorean theorem: The area of the square on the hypotenuse (c) equals the sum of the areas of the two squares on the other two sides (a and b)

  4. Right angled triangles • Six pieces of information (3 Side lengths, 3 angles). • If you know three (inc that one angle is 90o) then you can work out the rest. • Commonly, theta (θ) is used for angles

  5. Can sin, cos and tan go backwards? • If I know that sin θ =.053 how do I get θ? • Getting from a sin value (or cos or tan) to find the angle you use the inverse function of sin (cos and tan) called arcsin. Sometimes written as sin-1

  6. Useful sin/cos/tan values to rememberor at least be familiar with • sin 90o = 1 • tan 45o = 1 • sin 30o = 0.5 • cos 60o = 0.5 • sin 45o = cos 45o = 0.707 • sin 60o = cos 30o = 0.866

  7. sin and cosine rules • Use if you don’t have a right angled triangle. • Sometimes A B C (sides) and a b c (angles) • Questions trick sometimes and give 2 angles when you need a third but a+b+c =180o

  8. sin and cosine rules • sin rule • cosine rule

  9. Examples and more sohcahtoa • Maths is fun (notes and examples) • Slideshow with examples and questions • Online slideshow with notes and examples sine and cosine rules • University of Sheffield (pdf) • BBC Bitesize (notes and quiz) • EasyMaths(online notes, examples and questions) • GCSE Maths Tutor

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