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For the following exercises, write the complex number in polar form. 12. $2 + 2i$ 15. $\sqrt{3} + i$ 13. $8 - 4i$ 16. $3i$ 14. $-\frac{1}{2} - \frac{1}{2}i$ For the following exercises convert the complex number from polar to rectangular form

          For the following exercises, write the complex number in polar form.
12. $2 + 2i$
15. $\sqrt{3} + i$
13. $8 - 4i$
16. $3i$
14. $-\frac{1}{2} - \frac{1}{2}i$
For the following exercises convert the complex number from polar to rectangular form
        
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For the following exercises, write the complex number in polar form.
12. 2 + 2i
15. √(3) + i
13. 8 - 4i
16. 3i
14. -(1)/(2) - (1)/(2)i
For the following exercises convert the complex number from polar to rectangular form

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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For the following exercises, write the complex number in polar form. sqrt(3)+i For the following exercises,write the complex number in polar form. 1 1 2 12.2+2i 13.8-4i 14. 2 15.V3+i 16.3i
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Transcript

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00:01 We have problem number 14 in which we need to write the complex number in polar form the complex number is x equal to minus 1 by 2 minus 1 by 2 iota okay so if we compare this with z equal to x plus iota y we will be getting x equal to r cos theta to minus 1 by 2 y equal to r sine theta equal to minus 1 by 2 so we will be getting r equal to x square plus y square under root which is minus 1 by 2 square plus minus 1 by 2 square under root which will be 1 by 4 plus 1 by 4 that is 1 by 2 under root so we have r equal to 1 over root 2 or we can say we can say if you rationalize this it will be root 2 over 2 so we have r equal to root 2 over 2 now we need to find out theta so theta will be that is 10 theta will be y over x…
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