Math, asked by himanshumatu009, 10 months ago

Find value of x and y where,
** iy=17*​

Answers

Answered by AditiHegde
0

Find value of x and y where,  ** iy=17*​

The complete question is,

Find value of x and y where,  x + iy = 17 + i144

Given,

x + iy = 17 + i144

The given is a complex number.

In, z = x + iy

z represents a complex number, where, x represents a real number and y represents an imaginary number.

x + iy = 17 + i144

comparing LHS with RHS, we get,

x = 17 and y = 144

z = 17 + i 144

Modulus of complex number is given by,

|z| = √(x² + y²)

|z| = √(17² + 144²)

|z| = 145

Direction of complex number is given by,

∅ = tan^{-1} (y/x)

∅ = tan^{-1} (144/17)

∅ = 83.26°

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