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You may also with to instill self-confidence by a quick estimation BEFORE you calculate anything.

169º isn't too far from 180º, so you would expect the magnitude of "a" to be somewhere in the neighborhood of 18 - a little less. Likewise, the magnitude of "b" should be relatively small. This is consistent with your result. Can you see that this might be helpful as you decide how you feel about your calculated results?

Of course, the more you get away from the x- or y-axis, the less obvious this sort of thing might be. However, the 45º reference angles are another good spot to remember. If you needed 137º, that's pretty close to 135º, so you would expect "a" and "b" to have about the same magnitude. If you get a = 15 and b = 2, you can be confident that something went wrong along the way. This is your chance to go fix it. :)
 
You may also with to instill self-confidence by a quick estimation BEFORE you calculate anything.

169º isn't too far from 180º, so you would expect the magnitude of "a" to be somewhere in the neighborhood of 18 - a little less. Likewise, the magnitude of "b" should be relatively small. This is consistent with your result. Can you see that this might be helpful as you decide how you feel about your calculated results?

Of course, the more you get away from the x- or y-axis, the less obvious this sort of thing might be. However, the 45º reference angles are another good spot to remember. If you needed 137º, that's pretty close to 135º, so you would expect "a" and "b" to have about the same magnitude. If you get a = 15 and b = 2, you can be confident that something went wrong along the way. This is your chance to go fix it. :)
Okay.
Correction:
a = -10.83
b = 14.37
z = -10.83 + i 14.37
 
Okay.
Correction:
a = -10.83
b = 14.37
z = -10.83 + i 14.37
Nothing I said should have encouraged you to change your correct answer. How did you manage to create an incorrect answer on purpose? Don't do that.
 
Rachel

What are you studying? Your questions jump all over the place. Are you trying to tutor people?
 
Rachel

What are you studying? Your questions jump all over the place. Are you trying to tutor people?
I’m studying pre calculus. No, Im not tutoring people. This is my work and the different topics are part of my lessons for what I’m learning.
 
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