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Proofs for Edexcel A-level maths

Hi

Does anyone know all the proofs that we are expected to be able to prove in the exam. is there a list of all the proofs that they can ask us? if not, then can everyone please comment proofs that they know can be asked and hopefully we can make an exhaustive list.

thanks in advance
Proof by deduction

e.g. using completion of the square,
prove that n2 − 6n + 10 is positive for
all values of n or, for example,
differentiation from first principles for
small positive integer powers of x or
proving results for arithmetic and geometric
series. This is the most commonly used
method of proof throughout this
specification


Proof by exhaustion

This involves trying all the options.
Suppose x and y are odd integers less
than 7. Prove that their sum is
divisible by 2.


Disproof by counter example

e.g. show that the statement
“n2 – n + 1 is a prime number for all
values of n” is untrue


Proof by contradiction

(including proof of the
irrationality of √2 and the
infinity of primes, and
application to unfamiliar
proofs).
I think they can ask you to prove any trig identity (not sure about sin^2x to cos^2x = 1).
Can ask you to prove the sum of arithmetic and geometric series.
Referring to Edexcel syllabus, they can ask you all of ^, alongside proof of sum of arithmetic/geometric sequences. Can also ask you to prove many trig identities, not sure about sin^2x + cos^2x = 1.
Original post by justsomeguy17
Referring to Edexcel syllabus, they can ask you all of ^, alongside proof of sum of arithmetic/geometric sequences. Can also ask you to prove many trig identities, not sure about sin^2x + cos^2x = 1.

Also proof of the differentials from first principles e.g y= cosx, dy/dx is - sinx using small angle approximations!

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