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  (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.