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Complex Analysis
solve the equation
1) sin z+ cos z=0
2) exp(z^2) = exp 3z ; Im z in (-pi,pi]
3)ln(z+1)=ln i
1) sin z+ cos z=0
2) exp(z^2) = exp 3z ; Im z in (-pi,pi]
3)ln(z+1)=ln i
Complex Analysis
let z = -(4+4i) evaluate
1) Ln z
2) ln z for pi branch
3) ln z for (-3pi /4) branch
1) Ln z
2) ln z for pi branch
3) ln z for (-3pi /4) branch
Complex Analysis
if Ln z = Ln (z*) ,prove z is real number
Complex Analysis
Obtain the geometric, polar and exponential representations of (i5 – 1)–1
Complex Analysis
Find the square root of 4ab-2(a2-b2)i.
Complex Analysis
Find the real numbers x and y that make the equation true.
5 + yi = x + 3i
5 + yi = x + 3i
Complex Analysis
If arg((z-1)/(z+1)) =45(pi/4) , show that the locus z in the complex plain is a circle.
Complex Analysis
convert- Z= (i-1)/(cos60+i sin60)
Complex Analysis
Use De Moivre’s theorem to obtain the 6th roots of i5 – 1. Also show them in an Argand
diagram
diagram
Complex Analysis
Obtain the geometric, polar and exponential representations of (i5 – 1)^–1.
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#340153 on Dec 2023
#340153 on Dec 2023