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Write the value of a r g(z)+a r g(barz )...

Write the value of `a r g(z)+a r g(barz )` .

Text Solution

Verified by Experts

To find `arg(z)+arg(barz )` And we know that
`z = r(cos theta + i sin theta ) , theta = arg(z)`
`\Rightarrow bar (z ) = r(cos(theta) - sin(theta)`
`\Rightarrow bar (z )= r(cos(-theta)+sin(-theta)`
`-theta = arg ( bar(z))`
So, `arg(z) + arg ( bar(z) ) = theta -theta`
Hence value of `arg(z)+arg(barz )= 0`
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