6 Use the fact that einx is an orthogonal basis for L T to deduce that cos nx 0 sin nx 1 is an orthogonal basis for L and cos nx

Question

6 Use the fact that einx is an orthogonal basis for L T to deduce that cos nx 0 sin nx 1 is an orthogonal basis for L and cos nx and sin nx 1 are or thogonal basis for L 0 n 0 Hint For the latter part consider the even or odd extension of f L 0 to

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