The Fourier coefficient a, for the rectified sine wave y = sin (periodic function of 4n) is 1 1 determined to be a, = . The values of a, , a, and a, are 1 +n 2

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Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

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Q: 5. Verify the identity cos -(a -B)| COS we sin( B) -

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Q: 21 Compute D°. Let D =

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A: I=∫0π2cosθcosθ+sinθ dθ       →1 Now, ⇒I=∫0π2cosπ2-θcosπ2-θ+sinπ2-θ dθ    ∵∫0afx dx=∫0afa-x…

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A: Use the identity : sin A = cos A-π2 = cosπ2-A