Formulae to learn (not given) Flashcards by Ethan Barber

Q

Quadratic Formula

A

x = -b±(√b²-4ac)/2a

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Q

Straight Line Equation

A

y-y₁ = m(x-x₁)

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Q

Line Length Equation

A

√(x₂-x₁)²+(y₂-y₁)²

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Q

Sine Rule (Lengths)

A

a/sinA = b/sinB = c/sinC

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Q

Sine Rule (Angles)

A

sinA/a = sinB/b = sinC/c

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Q

Cosine Rule (Lengths)

A

a² = b²+c²-2bc(cosA)

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Q

Cosine Rule (Angles)

A

cosA = (b²+c²-a²)/2bc

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Q

Midpoint for lines - endpoints (x₁, y₁) & (x₂, y₂)

A

(x₁+x₂)/2, (y₁+y₂)/2

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Q

Circle Equation - centre (a, b), radius (r)

A

(x-a)²+(y-b)² = r²

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Q

Magnitude of a vector

A

|a| = √x²+y²

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Q

Multiplication Law of Logs

A

logₐx+logₐy = logₐxy

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Q

Division Law of Logs

A

logₐx-logₐy = logₐ(x/y)

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Q

Power Law of Logs

A

logₐ(x^k) = klogₐx

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Q

Power Law of Logs - Special case when k = -1

A

logₐ(1/x) = logₐ(x⁻¹) = -logₐx

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Q

Circle Circumference

A

2πr

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Q

Circle Area

A

πr^2

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Q

Cylinder Surface Area

Study These Flashcards

A

2πrh+2πr^2

Q

Cylinder Volume

Study These Flashcards

A

πr^2 * h

Q

Trapezium Area

Study These Flashcards

A

1/2(a+b)h

Q

Prism Volume

Study These Flashcards

A

Area of cross section * length

Q

Area of Triangle (for Trig)

Study These Flashcards

A

1/2abSinC

Q

Gradient of Straight Line

Study These Flashcards

A

y2-y1/x2-x1

Q

Relationship between perpendicular lines

Study These Flashcards

A

m1 * m2 = -1

Q

Arithmetic Series nth term

Study These Flashcards

A

a + (n-1)d

Geometric Series nth term

ar^(n-1)

tan x

sin x/cos x

sec x

1/cos x

cosec x

1/sin x

cot x (2 Methods)

1/tanx, cosx/sinx

Quadratic Trig Identities (1)

sin^2x + cos^2x = 1

Quadratic Trig Identities (2)

1 + tan^2 x = sec^2 x

Quadratic Trig Identities (3)

1 + cot^2 x = sec^2 x

Rsin(x+α)

R = √(a²+b²) α=cos^-1(Modulus infront of cos/R)

Rcos(x+α)

R = √(a²+b²) α=sin^-1(Modulus infront of cos/R)

b^x

logbY

AB

= OB-OA

Sin2θ

2SinθCosθ

Cos2θ

1-2sin^2θ 2cos^2θ-1 Cos^2θ-Sin^2θ

Arc Length

θr

Area

1/2θr^2