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[Solved]u=2+i.By considering the arg of u/u* or otherwise
*Solved
u=2+i.
u*=2-i
"By considering the arg of u"/u* or otherwise prove that tan^-1(4/3)=2tan^-1(0.5).That's the question,explain how do pls?
arg(u/u*)=arg u -arg u*
tan A=opposite side/adjacent side
tan2A=2tanA/(1-tan^2 A)
tanA=1/2
2tanA=1
tan2A(1-tan^2 A)=1
*Stuck here,guide pls?
Edit*
*Solved
Homework Statement
u=2+i.
u*=2-i
"By considering the arg of u"/u* or otherwise prove that tan^-1(4/3)=2tan^-1(0.5).That's the question,explain how do pls?
Homework Equations
arg(u/u*)=arg u -arg u*
tan A=opposite side/adjacent side
tan2A=2tanA/(1-tan^2 A)
The Attempt at a Solution
tanA=1/2
2tanA=1
tan2A(1-tan^2 A)=1
*Stuck here,guide pls?
Edit*
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