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The standard form of a complex number is the cartesian one; a plane with orthogonal axes for real parts and imaginary parts. A complex number has a pair of co-ordinates defining its position on the plane.
A trigonometric form is a plane with an origin, and one line from the origin to infinity. A complex number is defined by its distance from the origin and the angle between the datum line and the line joining the number to the origin.
It is just like co-ordinate geometry with co-ords r, theta instead of x,y.
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How can you square a complex number in trigonometric form?
Multiply the angle by 2, and square the magnitude. The angle can be rewritten between (-180° & +180°) (or -pi and +pi radians), after multiplying.
Solve 7-24i complex number?
31
How the exponential logarithm and trigonometric functions of variable is different from complex variable comment?
The exponential function, logarithms or trigonometric functions are functions whereas a complex variable is an element of the complex field. Each one of the functions can be defined for a complex variable.
What are the characteristics of a complex number?
A complex number must have a real and imaginary part. It can be in the form: a + bi i is an imaginary number and a and b are real numbers
What are considered complex numbers?
A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.
How can you square a complex number in trigonometric form?
Multiply the angle by 2, and square the magnitude. The angle can be rewritten between (-180° & +180°) (or -pi and +pi radians), after multiplying.
Solve 7-24i complex number?
31
How the exponential logarithm and trigonometric functions of variable is different from complex variable comment?
The exponential function, logarithms or trigonometric functions are functions whereas a complex variable is an element of the complex field. Each one of the functions can be defined for a complex variable.
How do you convret polar form of complex number into algebraic form?
For a complex number in polar form with Magnitude, and Angle: (Magnitude)*(cos(angle) + i*sin(angle)) will give the form: a + bi
A number written in the form a bi is called a number?
Complex
What is 17i in trigonometric form?
17 * rootover of -1
What is a number that can be written in the form a plus bi where a and b are real numbers?
A number of the form (a + bi) is a complex number.
A number written in the form a plus bi is called a number?
complex
Is a complex number a number that can be written in the form a plus bi where a and b are real numbers?
Yes, a+bi is standard form for a complex number. The numbers (a) and (b) are both real and i is √(-1)
What are the characteristics of a complex number?
A complex number must have a real and imaginary part. It can be in the form: a + bi i is an imaginary number and a and b are real numbers
What complex number is a number of the form a plus bi where?
"a + bi" is a common way to write a complex number. Here, "a" and "b" are real numbers.Another common way to write a complex number is in polar coordinates - basically specifying the distance from zero, and an angle.
What is a number written in the form a plus bi is called a what number?
It is called a complex number.
