anonymous
  • anonymous
Represent the complex number 3 − i graphically and write it in trigonometric form.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
To graph 3 - i, simply graph the point (3,-1) but do so on the complex plane. Remember the complex plane is a cartesian plane with the x axis as the real number line and the y axis as the imaginary number line ------------------------------------------------------- To convert to trignometric form r*( cos(theta) + i*sin(theta) ), use the formulas theta = arctan(y/x) and r = sqrt(x^2 + y^2) --------------------------- theta = arctan(y/x) theta = arctan(-1/3) theta = -18.4349 r = sqrt(x^2 + y^2) r = sqrt(1^2 + (-3)^2) r = sqrt(10) So the number in trigonometric form is sqrt(10)*( cos(-18.4349) + i*sin(-18.4349) )
anonymous
  • anonymous
√10(cos 208◦+ i sin 208◦) ?
anonymous
  • anonymous
√10(cos 342◦+ i sin 342◦) ??

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
√10(cos 137◦+ i sin 137◦) ???
jim_thompson5910
  • jim_thompson5910
Well remember that cos(theta) = cos(theta+360) This means that there are infinitely many choices for theta But we're in luck since we only have 4 choices Notice that -18.4349 + 360 = 341.5651 which rounds to 342 (basically 342 is very close to the coterminal of -18.4349) So the answer is √10(cos 342◦+ i sin 342◦)

Looking for something else?

Not the answer you are looking for? Search for more explanations.