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bija089 [108]
2 years ago
6

I) Express Z1 in polar Form a) Z1=1-(2-√3)i (complex number)

Mathematics
2 answers:
Marianna [84]2 years ago
8 0

Answer:

z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

Step-by-step explanation:

Recall that a+bi=r(cos\theta+isin\theta) where r=\sqrt{a^2+b^2} and \theta=tan^{-1}(\frac{b}{a}).

Since a=1 and b=-2+\sqrt{3}, then r=\sqrt{(1)^2+(-2+\sqrt{3})^2}=2\sqrt{2-\sqrt{3}} and \theta=tan^{-1}(\frac{-2+\sqrt{3}}{1})=-\frac{\pi}{12}=\frac{23\pi}{12}.

Therefore, z_1=1-(2-\sqrt{3})i=2\sqrt{2-\sqrt{3}}[cos(\frac{23\pi}{12} )+isin(\frac{23\pi}{12} )]

kicyunya [14]2 years ago
7 0

Step-by-step explanation:

hope it will help you thank you

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Find the area and the circumference of a circle with radius 6cm.
OLga [1]

Answer:

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

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From the information given,

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Therefore,

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3 years ago
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disa [49]

Answer:

h = -9

Step-by-step explanation:

Try to make the left hand side and the right hand side equal. By dividing like

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6 0
2 years ago
Jan uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea
Reil [10]
Hello!

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4 0
3 years ago
I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

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6 0
3 years ago
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kumpel [21]
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8 0
3 years ago
Read 2 more answers
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