Given a function g(t) = a cos t + b sin t, where a and b

Chapter , Problem 21

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Given a function g(t) = a cos t + b sin t, where a and b are constants, show that g(t) is the real part of the complex function keieit . for some k and . [Hint: Use Eulers formula.] Remark: The complex expression kei is called a phasor. If we know that g(t) has the form k cos(t + ), then we need know only the constants k and the amplitude and the phaseto know the function g. Hence we can use the phasor kei as a notation for the function g(t) = keieit .

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