Graphs of sin and cosine - Study guides, Class notes & Summaries

How do you determine if a graph is a function? If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function Equation for vertex x=-b/2a Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:03 / 0:15 Full screen X^Y=Z LogXZ=Y Function domain All inputs and outputs of a function. Growth Formula P(1+r)^t Area of a circle A=π*r² Sin...

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...

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...

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...

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 ...

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...

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...

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...

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...