Formula for Arg Z?

The argument of z is arg z = θ = arctan (y x ) . Note: When calculating θ you must take account of the quadrant in which z lies - if in doubt draw an Argand diagram. The principle value of the argument is denoted by Arg z, and is the unique value of arg z such that -π < arg z ≤ π.

What is the formula for argument?

Argument of a Complex Number Formula

If OP makes an angle θ with the positive direction of x-axis then z=r(cosθ+isinθ) is called the polar form of the complex number, where r=|z|=√a2+b2 and tanθ=ba is called argument or amplitude of z and we write it as arg (z)=θ.

What is the range of arg z?

The argument of z can have infinite possible values; this is because if θ is an argument of z, then 2nπ+θ 2 n π + θ is also a valid argument.

Maya Lin-Takahashi

Maya Lin-Takahashi

Consumer Tech & Gadget Reviewer

Maya is a hardware enthusiast who tests and reviews smart home devices, smartphones, wearables, and audio gear. She focuses on practical consumer value and build quality.