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RahulZ
 4 years ago
find the modulus of the complex number 2+i/3i
RahulZ
 4 years ago
find the modulus of the complex number 2+i/3i

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priyab2
 4 years ago
Best ResponseYou've already chosen the best response.0first make the complex number with no i in the denominator

priyab2
 4 years ago
Best ResponseYou've already chosen the best response.0\[(2+i \div3i) \times (3+i \div3+i)\]

priyab2
 4 years ago
Best ResponseYou've already chosen the best response.0ie. times by its conjugate

priyab2
 4 years ago
Best ResponseYou've already chosen the best response.0then \[\sqrt{0.5+0.5^{2}}\]

priyab2
 4 years ago
Best ResponseYou've already chosen the best response.0sorry thats wrong \[\sqrt{0.5^{2}+0.5^{2}}\]

adhirajmajumder
 4 years ago
Best ResponseYou've already chosen the best response.0(2+i)/(3i) =(2+i)(3+i)/(3+i)(3i) =(6+5i1)/9+1 =(5+5i)/10 =(1+i)/2 IZI=\[\sqrt{(1/2)^2+(1/2)^2}\] =\[\sqrt{.25+.25}\] =\[\sqrt{.50}\] =0.7071 \[\tan \theta=1/2/1/2\] \[\tan \theta=\Pi/4\]
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