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Express the following in a + ib form: ...

Express the following in `a + ib` form:
(i) `((cos theta+ isin theta)/(sin theta + icos theta))^(4)`
(ii)` ((cos 2theta -isin2theta)^(4)(cos4theta +isin4theta)^(-5))/((cos 3theta +isin3theta)^(-2) (cos 3theta -isin 3theta)^(-9))`
(iii) ` ((sinpi//8 +icos pi//8)^(8))/((sinpi//8-icospi//8)^(8))`

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((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

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