(a) Use the formula e2i = (ei)2 to deduce the well-known trigonometric identities for cos 2 and...
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(b) Derive the corresponding identities for cos 3θ and sin 3θ.
(c) Write down the explicit identities for cos mθ and sinθ as polynomials in cosθ and sinθ. Hint: Apply the Binomial Formula to (eiθ)m.
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