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Complex Analysis
w=(3-i)/(2i-1) solving this i get that w= -i-1 now i want to express w in polar form: r=sqrt2
but can you explain why arg(w)= -3pi/4 ? when arctan(1) = pi/4 (how do they get -3pi/4)
and if arg(w)= -3pi/4 can i than write 5pi/4 instead
and z^4=w and how to draw the solutions in the complex plane
but can you explain why arg(w)= -3pi/4 ? when arctan(1) = pi/4 (how do they get -3pi/4)
and if arg(w)= -3pi/4 can i than write 5pi/4 instead
and z^4=w and how to draw the solutions in the complex plane
Complex Analysis
how do i solve Im(-z+i)= (z+i)^2
Complex Analysis
hey, i wanna know step by step how sqrt(-2i) = sqrt(2)*e^(-i*pi/4) = (1-i)
is it necessary to change it to polar form first to get to 1-i ?
and when solving w^2= (-1+sqrt3 i)/2 how does the argument get tan^-1(-sqrt3)=2pi/3
shouldn´t it be tan^-1(-2sqrt3/2) if the formula for argument is arctan(y/x) ?
thnx
is it necessary to change it to polar form first to get to 1-i ?
and when solving w^2= (-1+sqrt3 i)/2 how does the argument get tan^-1(-sqrt3)=2pi/3
shouldn´t it be tan^-1(-2sqrt3/2) if the formula for argument is arctan(y/x) ?
thnx
Complex Analysis
If 〖(1+x+x^2)〗^n = a_0+a_2 x^2+ ------ +a_2n x^2n then prove that a_0+a_3+a_6+ ----- = 3^(n-1).
Complex Analysis
If x = a + b, y = ax + bβ and z = aβ + bα where α and β are complex cube roots of unity. Show that xyz = a^3+b^3.
Complex Analysis
Write the expression in standard form.
2/2-15i
2/2-15i
Complex Analysis
calculate by complex number the magnitude of conjugate z+1/z-1
Complex Analysis
Express the complex number in trigonometric form.
-3 + 3 square root of three i
help me please
-3 + 3 square root of three i
help me please
Complex Analysis
Write the complex number in the form a + bi.
five divided by two(cos 150° + i sin 150°)
Help me please
five divided by two(cos 150° + i sin 150°)
Help me please
Complex Analysis
Find the cube roots of 125(cos 288° + i sin 288°).
Help me please
Help me please
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#340153 on Dec 2023
#340153 on Dec 2023