Let F3={cos?(t),sin?(t),cos?(3t),sin?(3t)} and T3={cos3(t),cos2(t)sin(t),cos(t)sin2(t),sin3(t)}. Use the power reduction formulas and the triple angle identities to show the following: Show...

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Let F3={cos?(t),sin?(t),cos?(3t),sin?(3t)} andT3={cos3(t),cos2(t)sin(t),cos(t)sin2(t),sin3(t)}. Use the powerreduction formulas and the triple angle identities to show thefollowing:

  1. Show T3?Span(F3).
  2. Show F3?Span(T3).

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