Trig graphs and values - Study guides, Revision notes & Summaries

Pure Mathematics This document includes summaries of key mathematical concepts and thought-out examples with corrections made where necessary A* achieved using these notes in 2022 exams Relevant to the Edexcel exam board • Trigonometric rations • Trig Graphs (sin, cos, tan) • Angles in the four quadrants • Exact trigonometric ratio values • Simple trigonometric equations • Equations and identities

Accuplacer Exam 136 Questions with Verified Answers Define - "ordered pairs" - CORRECT ANSWER = (x, y) = a single point on a coordinate plane Define - "origin" - CORRECT ANSWER = (0,0) = the point where two axes meet Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants Explain what - "the distance" means Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...

slope-intercept form y = mx + b slope formula m = (y₂- y₁) / (x₂- x₁) point slope form y - y₁ = m(x - x₁) standard form Ax + By = C distance formula d = √[( x₂ - x₁)² + (y₂ - y₁)²] equation of a circle (x - h)² + (y - k)² = r² where (h,k) is the center and r is the radius absolute value piece wise function |x| = { x if x >or= 0 { -x if x < 0 FOIL First, Outer, Inner, Last what does i equal? square...

Accuplacer Exam 136 Questions with Verified Answers Define - "ordered pairs" - CORRECT ANSWER = (x, y) = a single point on a coordinate plane Define - "origin" - CORRECT ANSWER = (0,0) = the point where two axes meet Explain - "quadrants" - CORRECT ANSWER = when the two axes (x and y) cross they form 4 quadrants Explain what - "the distance" means Define - "distance formula" for a line(s) - CORRECT ANSWER = "distance" - the length between two points on a plane - (x1...

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...

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...

Accuplacer Math Terms Accuplacer Math Terms Accuplacer Math Terms Define - "origin" = (0,0) = the point where two axes meet Explain - "quadrants" = when the two axes (x and y) cross they form 4 quadrants Explain what - "the distance" means Define - "distance formula" for a line(s) = "distance" - the length between two points on a plane - (x1, y1), (x2, y2) * does not have to be forming a line *distance is ALWAYS positive = (Distance (d) = "square root" all over - [...

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...

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...

A-Level Maths Class Notes (AQA) for Year 12 Students Topics include: domain, range, discriminant inverse and composite functions completing the square sketching cubics transformations modulus arc lengths and sector areas trig graphs and values