Write the following numbers as an $(\alpha + \beta i)$ which means as an algebraic expression : $[2(\cos5 + i\sin5)]^{12}$ and also $(1+i)^8$ . So,as for the first one, I tried writing $2^{12}(\cos5 + i\sin5)^{12}$ but could not take it further. As for the second one, I took the modulus of $z$, which is $1$ but I don't know how to find $\alpha$ or $\beta$.
Math question complex number help?
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complex-numbers
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0What's for you "an algebraic expression"? Because both expressions you wrote are "algebraic", so what did you actually meant? Perhaps Polar something? – 2012-12-09
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1No the first one is trigonometric expression...an algebric expression has the form : alfa +beta*i.. – 2012-12-09
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1@Beyondhere: you are missing the point. Any number $\alpha+i\beta$ can be written using sines and cosines. The point of the question is to get rid of the power. – 2012-12-09