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Express the complex number in trigonometric form. -2

0 votes
asked Jul 30, 2014 in TRIGONOMETRY by Tdog79 Pupil

2 Answers

0 votes

z=-2+0i

a = -2 ,b=0

r =√(a^2+b^2)

  =√(-2)^2+(0)^2

  =2

θ =π+tan^-1(b/a)  when a<0 

  =π+tan^-1(0/-2)

  =π+0

  =π

Trignometric form

z=r(cosθ+isinθ)

  =2(cosπ+isinπ)

answered Jul 30, 2014 by bradely Mentor
reshown Aug 1, 2014 by bradely
i'm not sure that is completly right, could you check to see if you somehow made a mistake?
What is u r text book back side answer
i think it is correct
2 sqrt2 (cos(7pi/4) + isin (7pi/4))
I think u r question wrong

I think Question is 2-2i  not -2
0 votes

The complex number is  image

image

image

The polar form of complex number image

Find the absolute value of r.

image

image

image

Now find the argument image

Since > 0

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image

image

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image

image

image

Trigonometric form of image is  image

answered Jul 30, 2014 by david Expert
edited Jul 30, 2014 by david

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