Q33P - Mathematical Methods in Physical Sciences

Question

Find each of the following in the x + iy form and check your answers by computer.

tani

Step-by-Step Solution

Answer

The x + iy form of the given equation tani is 0.76 i

Step 1: Given Information.

The given expression is tani.

Step 2: Meaning of rectangular form.

Represent the complex number in rectangular form means writing the given complex number in the form of x + iy in which x is the real part and y is the imaginary part.

Step 3: Write in the form of x + iy .

Let us suppose that, u = tani.

 

It is known that

tan (zi) = i tanh (z)

 

Substitute the value.

u = i tanh (1)

   =0.76 i

 

Therefore, the x + iy form of the given equation tan i is 0.76 i.