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Consider the graphs of and .

  1. Sketch both graphs on separate axes. What do you notice?

    The first curve is shifted left units.
    The second curve is reflected vertically.

  2. Sketch the graph of . What is it equivalent to?

    Look at the equations of the curves and the hint in part (a).

  3. Use the unit circle to explain why adding to the angle reverses the sign of the - and -coordinates.