COMPLEX NUMBERS

ASSALAMUALAIKUM.

Just wanna share some mathematic formula that have been use in matriculation. i remembered when my sister told me that math in matriculation is easy, but i cant find it easy. i will try my best to make ME think math is easy, i just need more effort to do an exercise. as says goes, practice makes perfect!


1. COMPLEX NUMBER

• Z = X +Yi

*Yi is imagenary part
* X is real part

              eg: 8+6i
                    *6i is imagenary part
                    *8 is real part

• Z*- Conjugate ( changing the sign of the imagenary part)

              eg: 8+6i  ------   8-6i

                    -8+6i -------  -8-6i                                      

• simplifying expression where the denominator of fraction is a complex number

                          (a+bi)(a-bi) = a2 b2i2                                       notes: i2 = -1

                                                                           

• polar form     Z = r(cos(rad) + i sin(rad) )

             step 1: find r using modulus

             step 2: find (rad) using formula arg(z)