If a^2 +b^2+ c^2 = 1 and b+c= (1+a)z, prove .... || B.Sc maths- complex number -3

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If z(1+a)=b+ic and a2+b2+c2=1, then [(1+iz)/(1−iz)=..... Explained Step-by-Step If z(1+a)=b+ic and a2+b2+c2=1, then [(1+iz)/(1−iz)=..... Explained Step-by-Step
z=((a-b)+i(a+b))/((a+b)+i(a-b)) show that logz=itan^-1(2ab/(a^2-b^2)), = i(π+tan^-1(2ab/(a^2-b^2)) z=((a-b)+i(a+b))/((a+b)+i(a-b)) show that logz=itan^-1(2ab/(a^2-b^2)), = i(π+tan^-1(2ab/(a^2-b^2))
If `m in N` and `mgeq2,` prove that: `|1 1 1m_(C_1)m+1_(C_1)m+2_(C_1)m_(C_2)m+1_(C_2)m+2_(C_2)|=1` If `m in N` and `mgeq2,` prove that: `|1 1 1m_(C_1)m+1_(C_1)m+2_(C_1)m_(C_2)m+1_(C_2)m+2_(C_2)|=1`
Proof that i is 1 Proof that i is 1
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