Exercise 4.3.24. (a) Using de Moivre's formula for 23 where z = cis 0, find formulas for cos 30 and sin 30 in terms of cos 0 and sin 0. (*Hint*) (b) Using part (a), find a formula for cos 30 in terms of cos 0. (*Hint*) "There are other types of "morphisms" as well, such as homeomorphism (in topology), diffeomorphism (in differential topology), and just plain morphism (in category theory).

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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A: Solve by Taylor theorem

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