Where did you get these equations from? Remember that [itex]\arg z = \theta[/itex] is equivalent to [itex]z = |z|(\cos \theta + i \sin \theta)[/itex].missmerisha said:( x+1/x) = pi/3
x = 3/( pi -3)
missmerisha said:isn't the equation just
tan ( (x+1)/x) = pi/3 ?
missmerisha said:so it's
tan ( pi/3 ) = ( x+ 1 / x)
Complex numbers are numbers that consist of a real part and an imaginary part. They are used in various fields of mathematics and science, such as in solving equations, graphing, and studying electrical circuits.
"Arg(z) = pi/3" means that the argument, or angle, of the complex number z is equal to pi/3 radians. In other words, if z is written in polar form as z = r(cos(theta) + i sin(theta)), then theta = pi/3.
To solve complex numbers homework with an argument of pi/3, you can use the formula z = r(cos(theta) + i sin(theta)), where r is the absolute value of the complex number and theta is the argument. You can also use the trigonometric identities to simplify the expression and find the real and imaginary parts.
Yes, complex numbers with an argument of pi/3 can be represented on a graph. The real part of the complex number is the x-coordinate and the imaginary part is the y-coordinate. The angle, or argument, can be represented by rotating the complex number counterclockwise from the positive real axis.
Complex numbers with an argument of pi/3 have various real-world applications. They are commonly used in engineering and physics to solve problems involving alternating current (AC) circuits, as well as in signal processing and quantum mechanics.