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33 Cards in this Set
- Front
- Back
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What is the pattern of trigonometric graphs when they get to 360°? |
The pattern restarts every 360° (Full rotation) |
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What is the relationship between the Cosine Sine graphs? |
They have the exact same nums and orders but begin on diff points. Cross 0 every 180° (period of graphs is 180°) |
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What is the anagram for finding angles and lengths of right angled triangles? |
SOHCAHTOA Sine = Opp ÷ Hyp Cosine = Adj ÷ Hyp Tan = Opp ÷ Adj |
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What is the Sine rule used for? |
Sine rule is used to find angles of sides in non right angled triangles |
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What is the formula of the Sine Rule? |
sinA = sinB = sinC _____ _____ ______ a b c |
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What is the Cosine rule when a is the subject? |
a² = b² + c² - 2bc x cosA |
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What is the Cosine rule when b is the subject? |
b² = a² + c² - 2ac x cosB |
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What is the Cosine rule when c is the subject? |
c² = a² + b² - 2ab x cosC |
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When finding lengths when do you a) use the sine rule? b) use the Cosine rule ? |
sine rule = Opp angle + other pair of side+angle cos rule = other 2 lengths + corresponding angle to missing side |
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When finding angles when do you use a) the sine rule? b) the cosine rule ? |
sine rule = Opp side + other pair of angle+side cos rule = when you know all 3 lengths |
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What is the formula for finding the area of a non right angled triangle when you don't know the height? |
Area = 1/2 x a x b x sinC |
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What is the Quadratic formula? |
-b ± √b² - 4ac ______________ 2a |
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When can the quadratic formula not be solved? |
When it involves √of -number it can't be solved |
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When does the quadratic formula have no solutions? |
When b² - 4ac is negative the equation has no solutions |
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When does the quadratic formula have 1 solution? |
When b² - 4ac is equal to 0 the equation has 1 solution |
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When does the quadratic formula have 2 solutions? |
When b² - 4ac is positive the equation has 2 solutions |
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What is the method for solving quadratic a by completing the square? |
1. Write expression in brackets w/ square outsid 2. Make brackets equal to original expression 3. Subtract num that doesn't involve Xs |
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What is the completing the square? |
A format of writing a quad expression which can be solved for x and tells us key information about quad. graphs |
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When is the square 'completed' ? |
Square is complete when: (x ± a)² - b |
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What is the formula for volume of a sphere? What is the formula for S.A of a sphere? |
Vol = 4/3 πr³ S.a = 4πr² |
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What is the formula for Volume of a hemisphere? What is the formula for S.a of a hemisphere ? |
Vol= (4/3 πr³) ÷2 S.a = (4πr²)÷2 + (πr²) |
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What is the formula of volume of a cylinder? What is the formula of s.a of a cylinder? |
Vol= πr²h S.a = 2πr² + 2πrh |
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What is the formula of volume of a cone? What is the formula of curved s.a of a cone? What is the formula for s.a of a cone? |
Vol = 1/3 πr²h Curved sa = π x r x l Sa = (π x r x l) + πr² |
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What is the formula of a sqaure-based or triangular- based pyramid ? |
Vol = 1/3 x base area x perpendicular height |
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What is the formula for volume of a prism? |
Area of cross section x length |
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How do you simplify algebraic fractions? |
1. Factorise top 2. Factorise bottom 3. Cancel common factors |
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How do you simplify algebraic fractions when quadratic a are involved? |
1. Factorise top / bottom into double brackets 2. Treat as normal quadratic - cancel out brackets which are equal |
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How do you add / subtract algebraic fractions |
1. Find common denominator 2. x numerator by same num you multiply by to get common denominator 3. Do sum 4. NEVER ADD/SUB DENOMS |
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How do you add/ subtract Algebraic fractions where algebra is in denominator? |
1. Find com denom (probs double brackets) 2. Factorise 3. Multiply out brackets on top 4. Put into 1 fraction and simplify top |
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How do you multiply algebraic fractions? |
Use same rule as numerical fractions Top x top __________ Bottom x bottom |
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How do you divide numerical fractions? |
Same as numerical fractions K eep 1st F lip 2nd C hangs the sign |
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How do you solve algebraic fractions? |
Same as simplifying but w/ extra step to find value of unknown SUBTRACT FRACTION AND SOLVE FOR X |
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What is the formula for finding the area of a sector of a circle? |
x ------ x πr² 360 |
