EDEXCEL A-LEVEL PURE MATHS EXAM
QUESTIONS & DETAILED PASSED
ANSWERS 100%
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
unit vector (â)
a / |a|
vector / magnitude of vector
rule for implicit differentiation of terms with xy
d/dx (xy) = x dy/dx + y
(basically use the product rule then times the x-term by dy/dx)
QUESTIONS & DETAILED PASSED
ANSWERS 100%
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
unit vector (â)
a / |a|
vector / magnitude of vector
rule for implicit differentiation of terms with xy
d/dx (xy) = x dy/dx + y
(basically use the product rule then times the x-term by dy/dx)
