
Find the modulus and argument of the complex number hence convert it into polar form.
Answer
509.7k+ views
Hint:
Complex number is a number generally represented as , where and is real number represented on real axis whereas is an imaginary unit represented on imaginary axis whose value is . Modulus of a complex number is length of line segment on real and imaginary axis generally denoted by whereas angle subtended by line segment on the real axis is the argument of the matrix denoted by arg (z) calculated by trigonometric value. Argument of complex numbers is denoted by .
Complete step by step solution:
The given complex number in question can be written as , where and
Here the modulus of complex number will be
Hence, the modulus of the complex number will be 2.
Argument of the complex:
This can be written in radian as:
Note:
Complex numbers are always written in the form of where and are real numbers whereas is an imaginary part.
We can convert a degree into radian by multiplying it by .
Complex number is a number generally represented as
Complete step by step solution:
The given complex number in question can be written as
Here the modulus of complex number
Hence, the modulus of the complex number will be 2.
Argument of the complex:
This can be written in radian as:
Note:
Complex numbers are always written in the form of
We can convert a degree into radian by multiplying it by
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