- #1
andrew.c
- 46
- 0
Homework Statement
z1 = 1 + i, z2 = i − 5 are points in the complex plane. If z2 is rotated about z1 by 450
find its new position.
Attempt at solution
Absolutely no idea! I think I might need to use e^theta*i but not sure!
Complex numbers are numbers that include both a real part and an imaginary part. They are typically written in the form a + bi, where a is the real part and bi is the imaginary part, with i representing the square root of -1.
The complex numbers problem can be tricky because it involves working with both real and imaginary numbers, which can be difficult to visualize and manipulate. It also requires a good understanding of complex number operations and properties.
To solve a tricky complex numbers problem, you first need to identify the given numbers and operations involved. Then, use the properties of complex numbers to simplify the problem and find the solution. It may also be helpful to graph the complex numbers on a complex plane to visualize the problem.
One example of a tricky complex numbers problem is finding the square root of a complex number. This involves using the formula (a + bi)^1/2 = ±(a^2 - b^2)^1/2 + (2ab)^1/2i and applying it to the given complex number.
Complex numbers are used in various fields such as engineering, physics, and economics. They are particularly useful in electrical engineering for analyzing alternating current circuits and in quantum mechanics for representing wave functions. They are also used in financial forecasting and signal processing.