Hence argument of given complex is 240°.

The value of principal argument is such that -π < θ =< π. However since θ is a periodic function with a period of 2π, we can generally represent the argument as (2nπ + θ), where n is an integer. This is known as the general argument. Here π/2 is the principal argument.

The principal value Arg of the blue point at 1 + i is π/4.

The principal value Arg(z) of a complex number z=x+iy is normally given by Θ=arctan(yx), where y/x is the slope, and arctan converts slope to angle.

The modulus of , is the length of the vector representing the complex number . The argument is the angle in counterclockwise direction with initial side starting from the positive real part axis. We first need to find the reference angle which is the acute angle between the terminal side of and the real part axis.

Solution. Since, the point (0, – 1) representing z = 0 – i lies on negative direction of imaginary axis .

This statement is not true.

Find the modulus and argument of the complex numbers : (i) 1+i1-i (ii) 11+i. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. so, modulus is 1 and argument is π2.

1 Answer. It is completely fine (and preferred in some cases) to have a negative argument. A negative counterclockwise rotation becomes a clockwise rotation, that’s all.

A complex argument is a set of arguments with either overlapping premises or conclusions (or both). Complex arguments are very common because many issues and debates are complicated and involve extended reasoning.

A negative argument is an argument against your opponent’s position. In the blogosphere, these usually tend to simply contradict another person’s conclusion (“The Beatles aren’t the best band because they suck”), but this is not an effective strategy.

Logarithms cannot have non-positive arguments (that is, arguments which are negative or zero), but quadratics and other equations can have negative solutions. Each log in the equation had the same base, and each side of the log equation ended up with the value, so the solution “checks”.

logb(y) = x Whatever is inside the logarithm is called the “argument” of the log. Note that the base in both the exponential equation and the log equation (above) is “b”, but that the x and y switch sides when you switch between the two equations.

The natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of a negative number is undefined. The complex logarithmic function Log(z) is defined for negative numbers too.

They are sentences, quotes or sayings that inspire and motivate, and which contain insights and knowledge. They are like doors leading to new thoughts and a wider viewpoint. Positive thinking phrases can help you change your mindset and help you improve your life.

Positive sentence example

1. Think positive , and pray.
2. I’m positive she didn’t notice us the first time.
3. She had to adopt a positive attitude.
4. I was positive all she did was substitute a different one for each letter in the alphabet.
5. Positive .