Solve Cos(z)=sqrt(3) For Z Belongs To Ccomplex Var

Anonymous

From: -
Posts: -
Votes: -
Solve cos(z)=sqrt(3) for z belongs to C complex variable problem

 

Answer No.1

ProSam

From: US
Posts: 5
Votes: 15
Cos z = (e^iz + e^-iz)/2 cos(z)=sqrt(3) (e^iz + e^-iz)/2 = sqt(3) (e^iz)^2 - 2√3 *e^iz + 1 = 0 e^iz = [ 2√3 √(12 - 4) ]/2 e^iz = √3 √2 iz = ln (√3 √2) z = -i ln (√3 √2)

Answer No.2

Anonymous

From: -
Posts: -
Votes: -
Cos z = √3 sin z = √(1-cos^2 z) = √(1 - 3) = √-2 = i√2 e^(iz) = cos z + i sin z = √3 √2 iz = ln( √3 √2 ) z = ln( √3 √2 )/i => z = -i * ln( √3 √2 ) z = -1.146 i or 1.146i

Your Comment/Solution

Post As: Anonymous [Change]
Enter