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 | |