## Question

###### Consider the formula below:cOS + isin 8This formula is called Euler' $ Formula and one of the most famous formulas in all of Mathematics shows the connection between trigonometric functions and the exponential functionProve Euler' $ Formula_ (Hint: Expand both sides using the MacLaurin Series)Use Euler' $ Formula to prove Euler's Identity: eti + 1 = 0 beautiful formulasin all of math, as it relates the most famous Note: This is one of the most constants that exist!prove De Mo

Consider the formula below: cOS + isin 8 This formula is called Euler' $ Formula and one of the most famous formulas in all of Mathematics shows the connection between trigonometric functions and the exponential function Prove Euler' $ Formula_ (Hint: Expand both sides using the MacLaurin Series) Use Euler' $ Formula to prove Euler's Identity: eti + 1 = 0 beautiful formulasin all of math, as it relates the most famous Note: This is one of the most constants that exist! prove De Moivre Formula: Use Euler' $ Formula to (cos 0 + isin 0)" cos(ne) + i sin(n0)

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