Problem : The graphs of which pairs of trigonometric functions can be replaced by its partner with either a horizontal or a vertical shift?Sine and cosine, and secant and cosecant are pairs in which each partner is different from the other only as a result of a horizontal shift.
Problem : What would happen to the sine graph if the equation were changed to this: y = sin(x) - 3?The graph would be shifted vertically down three units, but would otherwise be the same.
Problem : What would happen to the cosine graph if the equation were changed to this: y = cos(x - )?The graph would shift to the right by units, and, incidentally, overlap the sine graph.
Problem : State a formula for the following graph.y = cos(x + 2kΠ) or y = sin(x + 2k), where k is an integer.
Problem : State a formula for the following graph.y = sin(x + 2kΠ) + 1 or y = cos(x - 2k) + 1, where k is an integer.