Finding Maximum and Minimum Values and Zeros of Sine and Cosine (6.4.3)

Question 1

• When graphing trigonometric functions, there are points on the graph where important things happen:
  
  • Maxima occur at the highest points of the graph and repeat each period.
  • Minima occur at the lowest points of the graph and repeat each period.
  • Zeros occur where the function crosses the x-axis.

Answer 1

• When graphing trigonometric functions, there are points on the graph where important things happen:
  
  • Maxima occur at the highest points of the graph and repeat each period.
  • Minima occur at the lowest points of the graph and repeat each period.
  • Zeros occur where the function crosses the x-axis.

Question 2

• Adding or subtracting a constant to a trigonometric function produces a vertical shift, moving the graph up or down.

Answer 2

• Adding or subtracting a constant to a trigonometric function produces a vertical shift, moving the graph up or down.