7529631
Description
Flashcards by Angel Smith, updated more than 1 year ago
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Created by Angel Smith
almost 8 years ago
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| Question | Answer |
| Basic trigonometry | |
| SOHCAHTOA | |
| Trigonometry Finding angles | Equation: tan{x} = o/a tan{x} = 5/7 tan{x} = 0.714285... Do not round this answer yet. To calculate the angle use the inverse tan button on the calculator (Equation: tan^{-1}) x = 35.5 degrees |
| Trigonometry Finding Lengths | Equation: sin{x} = o/h sin{32} =o/8 Make AB (Equation: o) the subject by multiplying both sides by 8. AB = 8 x sin{32} AB = 4.2 cm |
| Pythagoras Formula | |
| Pythagoras Triplet | A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a^2 + b^2 = c^2 a Pythagorean Triple always consists of: all even numbers, or two odd numbers and an even number A Pythagorean Triple can never be made up of all odd numbers or two even numbers and one odd number. This is true because: The square of an odd number is an odd number and the square of an even number is an even number. The sum of two even numbers is an even number and the sum of an odd number and an even number is in odd number |
| Circle Theorems | Inscribed Angle: an angle made from points sitting on the circle's circumference. A and C are "end points" B is the "apex point" |
| Circle Theorems | An inscribed angle a° is half of the central angle 2a° Angle at the Center Theorem |
| Circle Theorems | The angle a° is always the same, no matter where it is on the circumference. Angles Subtended by Same Arc Theorem |
| Circle Theorems | An angle inscribed in a semicircle is always a right angle The inscribed angle 90° is half of the central angle 180° |
| Circle Theorems | A "Cyclic" Quadrilateral has every vertex on a circle's circumference A Cyclic Quadrilateral's opposite angles add to 180° a + c = 180° b + d = 180° |
| Circle Theorems | A tangent is a line that just touches a circle at one point. It always forms a right angle with the circle's radius |
| Circles Sectors & Segment | There are two main "slices" of a circle The "pizza" slice is called a Sector. And the Segment, which is cut from the circle by a "chord" (a line between two points on the circle). |
| Area of Sector | Area of Sector = θ/2 × r^2 when θ is in radians Area of Sector = θ × π/360 × r^2 when θ is in degrees |
| Area of Segment | Area of Segment = θ − sin(θ)/2 × r^2 when θ is in radians ( θ /360 × π − sin(θ)/2 ) × r^2 when θ is in degrees |
| Circles Arc | The arc length (of a Sector or Segment) is L = θ × r when θ is in radians L = (θ × π/180) × r when θ is in degrees |
| Circles Annulus | An annulus is a flat shape like a ring Its edges are two circles that have the same center. Because it is a circle with a circular hole, you can calculate the area by subtracting the area of the "hole" from the big circle's area Area = πR^2 − πr^2 or π( R^2 − r^2 ) |
| Circles Basics | A line that goes from one point to another on the circle's circumference is called a Chord. If that line passes through the center it is called a Diameter. A line that "just touches" the circle as it passes by is called a Tangent. And a part of the circumference is called an Arc |
| Sine Rule | To be able to the find the length of any triangle |
| Sine Rule | To be able to find the angle of the triangles |
| Quadratic Formula | |
| Functions of Graphs | y=f(x + or - a) translation in the x direction y=f(x) + or - a translation in the y direction y=f(xa) enlargement in the x direction y=af(x) enlargement in the y direction y=f(-x) reflection in the y axis y=f(x) reflection in the x axis y=af(x) stretch in y direction sf=a y=f(ax) squash in the x direction sf=a |
| Stratified Sampling The number in the sample are in proportion for each category | Sample size/population size x Stratum size |
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