Consider the graphs of y = sin(x +
) and y = −sin x. Homework Help ✎
Sketch both graphs on separate axes. What do you notice?
Sketch the graph of y = cos(x +
). What is it equivalent to?
Use the unit circle to explain why adding
to the angle x reverses the sign of the x- and y-coordinates.
The first curve is shifted left π units.
The second curve is reflected vertically.
Look at the equations of the curves and the hint in part (a).