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- Homework Statement
- Find values of tan^-1(1+2i)

- Relevant Equations
- tan^-1(1+2i)

Find the values of tan

We can use the fact: tan

Then with substitutions we have (i/2)log((1+3i)/(-i-1)).

Then I think the next step would be (i/2)(log(1+3i)-log(-1-i)).

Do we then just proceed to solve log(1+3i) and log(-1-i)? I'm just a little confused what the next step should be, any help is appreciated, thank you.

^{-1}(1+2i).We can use the fact: tan

^{-1}z = (i/2)log((i+z)/(i-z)).Then with substitutions we have (i/2)log((1+3i)/(-i-1)).

Then I think the next step would be (i/2)(log(1+3i)-log(-1-i)).

Do we then just proceed to solve log(1+3i) and log(-1-i)? I'm just a little confused what the next step should be, any help is appreciated, thank you.