argument for-3+4i
Are you asking for the answer?....
3+4i
3+4i = 5 cis 53.1°
so, modulus is 5, argument is 53.1° or .927 (in radians)
oops. I missed the "-". Surely you can fix that.
To find the argument of -3 + 4i, we need to use the formula for the argument of a complex number, which is given by:
arg(z) = atan2(Im(z), Re(z))
Here, -3 is the real part (Re) of the complex number, and 4i is the imaginary part (Im) of the complex number.
Now, let's calculate the argument of -3 + 4i:
Re(-3 + 4i) = -3
Im(-3 + 4i) = 4
Applying the formula:
arg(-3 + 4i) = atan2(4, -3)
Now, we can use a calculator or a math software to find the arctangent of 4/(-3):
arg(-3 + 4i) ≈ 0.9273 radians or ≈ 53.13 degrees
Therefore, the argument of -3 + 4i is approximately 0.9273 radians or 53.13 degrees.