In Exercise 22 in Section 3.4, we showed that a function

Chapter , Problem 23

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In Exercise 22 in Section 3.4, we showed that a function of the form y(t) = k1 cos t + k2 sin t can be written as y(t) = K cos(t ), where K = k2 1 + k2 2. Verify this identity by writing the complex number k1 + ik2 in its polar form K ei and then calculating the real part of the product (k1 ik2)eit in two different ways. [Hint: Whats the polar form of k1 ik2?]

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