The problem is the same whether stated in degrees or in radians.toforfiltum said:Homework Statement
Arg z≤ -π /4
Homework Equations
3. The Attempt at a Solution [/B]
I'm confused whether the answer to that would be more than -45° or less. Should the approach to arguments be the same as in negative numbers?
Thanks! To confirm, the answer would be 60°...etc?SammyS said:The problem is the same whether stated in degrees or in radians.
Yes, the approach is the same as for negative numbers.
Regardless of the signs of two numbers, a < b means that b - a is positive.
?toforfiltum said:Thanks! To confirm, the answer would be 60°...etc?
Is it true that 60° ≤ -45° ?toforfiltum said:Thanks! To confirm, the answer would be 60°...etc?
toforfiltum said:Homework Statement
Arg z≤ -π /4
Homework Equations
The Attempt at a Solution
I'm confused whether the answer to that would be more than -45° or less. Should the approach to arguments be the same as in negative numbers?
Inequalities of negative arguments in complex numbers refer to the comparison of negative complex numbers in terms of their magnitude, direction, and position on the complex plane.
Inequalities of negative arguments are typically represented using the symbols <, >, ≤, or ≥. For example, if z1 and z2 are two negative complex numbers, we can write z1 < z2 to indicate that z1 has a smaller magnitude than z2.
Inequalities of negative arguments are important in understanding the properties and relationships of complex numbers. They can help us compare and order complex numbers, as well as identify important characteristics such as the maximum and minimum values of a set of negative complex numbers.
Solving inequalities of negative arguments involves using algebraic techniques to manipulate the complex numbers and ultimately determine the relationship between them. We can also use the geometric representation of complex numbers on the complex plane to visualize and solve these inequalities.
Inequalities of negative arguments in complex numbers have various applications in fields such as physics, engineering, and economics. For example, they can be used to model and analyze the behavior of electrical circuits, fluid dynamics, and financial investments. Inequalities of negative arguments can also be applied in computer science for data compression and error correction techniques.