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Home > PC > Chapter 4 > Lesson 4.1.4 > Problem 4-57


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.

    Circle with horizontal & vertical diameters, & slanted diameter from third to first quadrant, endpoints labeled as coordinate pairs, first quadrant positive, comma positive, third quadrant, negative, comma negative, central angle from positive x axis to first quadrant radius, labeled alpha.