Grade 12th passAlgebra
If a=e^(ix) then (1+a)/(1-a) is equal toA)cot (x/2) B) tan x C) i cot (x/2) D) i tan x/2 E)2 tan x
If a=e^(ix) then (1+a)/(1-a) is equal to
A)cot (x/2) B) tan x C) i cot (x/2) D) i tan x/2 E)2 tan x
1 Answer
Arun
Dear student
e^ix = cos x + i sinx
hence
1+a/1-a = 1 + cos x + i sinx / 1 – cos x – i sinx
= (cos x/2 + i sinx/2) / ( sinx/2 – i cosx/2)
now you can do it further
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