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Q.

If Z is a complex number of unit modulus and argument θ, then find the value of angel(1+z/1+z)

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a

T/2

b

θ

c

T-θ

d

-θ

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Detailed Solution

Given,
z= 1
zz=1
ang=θ
ang (1+z/1+z)= ang (1+z/1+1/z) Ang (1+z/1+z)= = ang (1+z/z+1/z)
Ang (1+z/1+z)= ang [(1+z)*z/1+z]
Ang (1+z/1+z)= ang z
Ang (1+z/1+z)=θ (∵given)
hence value is θ .
Type- CBSE
Grade- 10
Subject- Mathematics
Chapter- Profit and loss

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If Z is a complex number of unit modulus and argument θ, then find the value of angel(1+z/1+z)