Question

I desperately need help with this. Please. Will give brainliest

For questions 7-12, let z1 = 3(cos(60°) + isin(60°)), z2 = 2(cos(35°) + isin(35°)), and z3 = 4(cos(45°) + isin(45°)).

Calculate the following, keeping your answer in polar form.

6. z1 + z2

7. z3 – z2

8. z2z3

10. z1 / z3

11. z1 / (z2z3)

Answer 1

A suitable calculator handles this math easily. It is best to make friends with your calculator's complex number or vector addition functions.

If you're doing this manually, the addition and subtraction are the hardest, as they require conversion to rectangular coordinates (or use of the Law of Cosines and Law of Sines). For multiplication, you multiply magnitudes and add angles.

6. 4.886∠50.04°

7. 2.060∠54.71°

8. 2*4∠(35° +45°) = 8∠80°

10. (3∠60°)/(4∠45°) = (3/4)∠(60°-45°) = 0.75∠15°

11. Compare to 10. (0.75∠15°)/(2∠35°) = (3/8)∠(15°-35°) = 0.375∠-20°