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Find the rectangular form of the complex 5 number given r = 13 and tan 0 12

Find the rectangular form of the complex 5 number given r = 13 and tan 0 12

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please explain how they got the x and y values in this question, how did they get the 122 and 52? Thanks a lot
11:23 Solution The rectangular form of the given point in complex form is 6√3+ 6i. 5 12 r = x² + y² X Example 10.5.6B: Finding the Rectangular Form of a Complex Number If tan 0 = Find the rectangular form of the complex number given r = 13 and tan 0 = 5 12 cos = 2 13 2 = 6√3+ 6i P " (12) and tan 0 = = and sin 2¹) +(12)— i = How can we help Y 122+52 Y r x 5G z = 13 (cos 0 + i sin 0) 5 = 13 (12+) 13 13 = 12 + 5i 11πT we first determine " 13. We then find The rectangular form of the given number in complex form is 12 + 5i. ? Exercise 10.5.6 Convert the complex number to rectangular form: 11TT SSO %D
Transcribed Image Text:11:23 Solution The rectangular form of the given point in complex form is 6√3+ 6i. 5 12 r = x² + y² X Example 10.5.6B: Finding the Rectangular Form of a Complex Number If tan 0 = Find the rectangular form of the complex number given r = 13 and tan 0 = 5 12 cos = 2 13 2 = 6√3+ 6i P " (12) and tan 0 = = and sin 2¹) +(12)— i = How can we help Y 122+52 Y r x 5G z = 13 (cos 0 + i sin 0) 5 = 13 (12+) 13 13 = 12 + 5i 11πT we first determine " 13. We then find The rectangular form of the given number in complex form is 12 + 5i. ? Exercise 10.5.6 Convert the complex number to rectangular form: 11TT SSO %D
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