Help please and show the steps

9514 1404 393

  (a) 12∠0.1

  (b) 3∠-0.1

  (c) (1/3)∠-0.1

Step-by-step explanation:

In this answer, we will use the notation r∠φ to identify the "r-part" and the "φ-part" of your polar-form complex numbers.

Given: z = 3∠0.1

(a) 4z = 12∠0.1 . . . . .  the r-part is multiplied by the scalar

(b) z* = 3∠-0.1 . . . . .  the conjugate is formed by negating the angle

(c) 1/z = (1/3)∠-0.1 . . . . the reciprocal inverts the magnitude and negates the angle.

the least common denominator is 40

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.