Complex Number Proofs (1 Viewer)

[betthisnameistaken]

Hey could someone provide proofs for all of the following? (from syllabus)

 

[Drongoski]

You should find many of the proofs in your text books.

 

[vinlatte]

You should find many of the proofs in your text books.

The Maths in Focus textbook has more proofs for these equations compared to the New Senior Mathematics textbook.

The last 3 equations seem easier to proof as you can sub in a complex number (cartesian form) and its conjugate in the equation. You can also graph it on a real / imaginary plane to better visualise the equations.

 

[Drongoski]

If you want to be good in your complex numbers, you want to master as many of those identities as you can, and also learn their proofs.