Cosine rule - Study guides, Class notes & Summaries

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...

Edexcel Pure Maths: A-Level, Content ideas and Formula Already Passed What are the turning point co-ordinates in f(x)=a(x+p)^2 +q (-p,q) How many roots are there if the discriminent > 0? Two distinct roots How many roots are there if the discriminent = 0? One/repeated root How many roots are there if the discriminent < 0? no real roots What can we use the discriminent to find? no. of points of intersection What does the solution of a pair of simultaneous equations represent? points of...

Quadratic Formula Domain The set of possible inputs for a function. Range The set of possible outputs of a function. Discriminant 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 If y < f(x) or y > f(x) then the curve y = f(x) is not included in the region, and is represented by a dotted line. If y ≤ f(x) or y ≥ f(x) ...

TSA Written Exam Study Guide Questions and Answers Rated A+ The technique of holding a particular picture on the screen for an extended period of time is known as a/an freeze frame A device that converts electricity into sound is a/an speaker When the length of the side adjacent to an angle is divided by the hypotenuse of a right triangle, the result is the _ of the angle. cosine The number system that uses only 1's and 0's to represent values is binary The part of an internal combination...

Edexcel A Level Maths (A+ Graded 100% Verified) Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. ANS: a² = b² + c² - 2bcCosA Cosine Rule - Know 3 sides. You want an angle. ANS: Cos A = (b² + c² - a²) ÷ 2bc Sine Rule - Know 2 angles and a side. You want the missing side. ANS: (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) Sine Rule - Know 2 sides and an angle. You want a missing angle. ANS: (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) Midpoint of a...

Pure Maths A Level Questions and Answers 100% Pass Gradient y2-y1/x2-x1 Length of a line sqrt((x2-x1)^2+(y2-y1)^2) Midpoint (x1+x2/2, y1+y2/2) How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle How do you know if two lines are parallel? The gradients should be the same What should you always remember when finding the square roots? T...

Area of a triangle - 1/2absinC completing the square - x^2 + bx = (x + b/2)^2 - (b/2)^2 + c Cosine rule - a² = b² + c² - 2bcCosA Equation of a Circle - r^2 = (x-a)^2+(y-b)^2 Equation of a Tangent - y - y1 = m(x - x1) Sin rule - a/sinA = b/sinB = c/sinC

1. Gradient y2-y1/x2-x1 2. Length of a line sqrt((x2-x1)^2+(y2-y1)^2) 3. Midpoint (x1+x2/2, y1+y2/2) 4. How do you know if two lines are perpendic- ular? When you multiply the gra- dients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle 5. How do you know if two lines are parallel? The gradients should be the same 6. What should you always remember when finding the square roots? The answer cou...

AS MATHEMATICS 7356/1 Paper 1 Mark scheme June 2024 Version: 1.0 Final *246A7356/1/MS* Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all associates participate in and is the scheme which was used by them in this examination. The standardisation ...

Gradient y2-y1/x2-x1 Length of a line sqrt((x2-x1)^2+(y2-y1)^2) Midpoint (x1+x2/2, y1+y2/2) How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle How do you know if two lines are parallel? The gradients should be the same What should you always remember when finding the square roots? The answer could...