Review worksheet Pre-Calc Solve the following by graphing 1. Simplify the following: a. √(−64) b. (−4 + 5𝑖) + (−1 − 2𝑖) c. (-4 + 5i) – (-1 – 2i) 2+3𝑖 d. 3−4𝑖 2. Describe the geometric effect of the operation of : a. (3 − 2𝑖) + (−2 + 4𝑖) b. Given T(z) = z, what is the geometric effect when T(z) = i (z) : 3. Consider two complex numbers 𝐴 = −4+5𝑖 and 𝐵 = 4−10𝑖. a. Find the midpoint of 𝐴 and 𝐵. b. Find the distance between 𝐴 and 𝐵. 4. Convert z = 4 + 3i to trig form. (10 points): 1. Find r. r a 2 b 2 b 2. Find . tan 1 a 3. Fill in the blanks in z r cos i sin 5. Convert 4(cos 30 + i sin 30) to rectangular form. (10 points): 1. Evaluate the sin and cos 2. Distribute in r