Core 4

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A2 level Maths Flashcards on Need to know for Core 4, created by Erifwa on 04/18/2016.
Marika Rutlin
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Marika Rutlin
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sin²x + cos²x 1
1 + tan²x sec²x
1 + cot²x cosec²x
if a ∙b = 0 then the lines are perpendicular
when differentiating with respect to x then 4y² will become... 8y dy dx
5x + 1 (x – 1)(2x + 1)² expressed as partial fractions A B C (x – 1)(2x + 1)(2x + 1)²
sin 2A 2sin A cos A
cos 2A cos²A –sin²A
tan2A 2tanA 1 – tan²A
∫e^ax dx e^ax + c a
∫f'(x) dx f (x) ln|f(x)| +c
the modulus of a vector |a| √x² + y² + z²
r = p + λd p is the position vector of a particular point on the line, λ is a scalar parameter, d is any vector parallel to the line (called a direction vector)
acute angle in vectors cos ϴ = a ∙b |a||b|
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