Using euler''s formulas to obtain trigonometric identities

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Reference no: EM131302631

Using Euler's Formulas to Obtain Trigonometric Identities. In this lesson, we will explore the derivation of several trigonometric identities, namely

cos(x + y) = cosxcosy- sinxsiny

and sin(x + y) = sinxcosy+ sinycosx

also

cos2x = cos2x- sin2x

along with sin2x = 2sinxcosx

and lastly, DeMoivre's Formula,

(cosx+ isinx)n = cosnx+ isinnx

Using Euler's Formula. To get a good understanding of what is going on, you will need a previous knowlege of series expansions and complex numbers! This article will provide avery little explanation of these subjects, so you may want to refresh your knowledge first

Reference no: EM131302631

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