Cosine rule - Study guides, Class notes & Summaries

Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. a² = b² + c² - 2bcCosA Cosine Rule - Know 3 sides. You want an angle. Cos A = (b² + c² - a²) ÷ 2bc Sine Rule - Know 2 angles and a side. You want the missing side. (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) Sine Rule - Know 2 sides and an angle. You want a missing angle. (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) Midpoint of a line segment on a circle. ( (x₁ + x₂) ÷ 2 ) , ( ...

Exterior angle - correct answer 360 / number of sides Interior angle - correct answer 180 - Exterior angle Area of triangle - correct answer 1/2 x B x H Area of parallelogram - correct answer B x H Area of trapezium - correct answer 1/2 x (total of para...

Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level QUESTIONS WITH CORRECT ANSWERS Quadratic Formula - ANSWER Domain - ANSWER The set of possible inputs for a function. Range - ANSWER The set of possible outputs of a function. Discriminant - ANSWER b² - 4ac > 0 then two distinct real roots. b² - 4ac = 0 then one repeated real root. b² - 4ac < 0 then a quadratic function has no real roots. Types of Lines for Regions - ANSW...

Parallelogram law (step 1) correct answer: Add the vectors into a diamond shape so they add up to 360 degrees Parallelogram law (step 2) correct answer: Use the law of cosines (or law of sines) to find the Resulting vector Parallelogram law (step 3) correct answer: Calculate theta using law of sines to refind the angle of a vector then subtracting it from the 2nd vectors angle Triangle law (step 1) correct answer: Add the vectors into a triangle shape so they add up to 180 degrees ...

PURE MATHS CH9 VERIFIED 100% SOLUTIONS cosine rule (2) a² = b²+c²-2bcCosA CosA = (b²+c²-a²)/2bc Use trigonometric ratios for right angled triangles to prove the cosine rule the largest angle is always opposite the ... (2) largest side (and vice versa)

What's the cosine rule? - correct answer a² = b² + c² - 2bcCosA cosA=? - correct answer b^2+c^2-a^2/2bc Sine rule? - correct answer a/sinA = b/sinB = c/sinC ; as well as the inverse What do you have to watch out for with the sine rule? - correct answer It can sometimes produce 2 possible solutions for a missing angle, θ and 180-θ Area of a triangle? - correct answer A=1/2absinC Solving triangle trig problems rules : - correct answer *to find an unknown angle given two sides ...

area of sector (where θ is in radians) ½r²θ angles in 3D vectors cosθₓ =x/|a| cosθᵧ =y/|a| cosθ₂ =z/|a| this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) Expanding (a + bx)ⁿ (a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ cosine rule a² = b² +c² -2bc cosA rule for parametric integration ∫y dx = ∫(y dx/dt)dt as (dx/dt) x dt would cancel out to give you ∫y dx un...

Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. Full Chapters test bank included - Answers are given at the end of every chapter. Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressi...

Edexcel A Level Maths – Pure A+ Graded 100% Verified Natural Numbers ANS: The set of numbers 1, 2, 3, 4, ... Also called counting numbers. Integers ANS: The set of whole numbers and their opposites Z⁺ Z⁺₀ Rational Number ANS: set of all numbers that can be written as a fraction of two integers Q irrational numbers ANS: Numbers that can't be written as a fraction... examples √2 and π Universal Set ANS: A set that includes all the objects being discussed. - Ex...

Finding the LCM of two numbers when you have the prime factors - correct answer - List all the prime factors out - If a factor appears more than once, list it that many times, e.g. 2, 2, 2, 3, 4 and 2, 2, 3, 4 would be 2, 2, 2, 3, 4 - Multiply these together Finding the HCF of two numbers when you have the prime factors - correct answer - List all the prime factors that appear in both numbers - Mu...