The image above demonstrates a formula in cell D3 that calculates the tangent of a complex number in general or rectangular form specified in the function.
=IMTAN("1+1i")
The IMTAN probably stands for imaginary tangent.
3.1 What are complex numbers?
Complex numbers allow us to solve equations that have no real solutions. Complex number have two parts, a real part and an imaginary part called i which means imaginary and stands for the square root of -1.
3.2 What are the applications for complex numbers?
Complex numbers are very useful in many fields of mathematics and science.
Electronics: Complex numbers are used to analyze circuits that involve alternating current (AC) or signals modulated by electromagnetic waves.
Electromagnetism: Complex numbers are used to describe the electric and magnetic fields in terms of their magnitude and direction.
Control theory: Complex numbers are used to design and optimize systems that have feedback loops, such as robots, airplanes, or rockets.
Signal analysis: Complex numbers are used to perform Fourier transforms, which are methods of decomposing a signal into its frequency components.
Relativity: Complex numbers are used to express the space-time interval in special relativity, which is a measure of the distance between two events that occur in different locations and times.
Fluid dynamics: Complex numbers are used to model the flow of fluids, such as air or water.
6. IMTAN function example 3 - real and imaginary coefficients
The image above demonstrates a formula in cell D3 that calculates the tangent of real and imaginary coefficients specified in the COMPLEX function. The COMPLEX function lets you create a complex number using a real and imaginary number.
Formula in cell D3:
=IMTAN(COMPLEX(3,2))
6.1 Explaining formula
Step 1 - Calculate complex number based on a real and imaginary number
The COMPLEX function returns a complex number based on a real and imaginary number.
Function syntax: COMPLEX(real_num, i_num, [suffix])
COMPLEX(3,2)
returns
"3+2i".
Step 2 - Calculate the tangent of a complex number
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