What are the critical points of a sine and cosine graph

The video tutorial explains critical points in sine and cosine graphs, focusing on X intercepts, maximum, and minimum points. It covers sketching these graphs from 0 to 2π and identifies critical points. The tutorial discusses how transformations affect these points and provides a method to calculate distances between them by dividing the period by four. This understanding aids in plotting graphs accurately despite transformations.

What are the critical points in the initial period of a sine or cosine graph?

• Only the minimum points

• Only the maximum points

• Only the X intercepts

• X intercepts, minimum, and maximum points

In the initial period, where does the sine graph reach its maximum?

• At π/2

• At 2π

• At 0

• At π

How does the cosine graph start in its initial period?

• At π

• At its minimum

• At its maximum

• At an X intercept

What is the formula to find the distance between critical points in a sine or cosine graph?

• Period divided by 4

• Period divided by 5

• Period divided by 3

• Period divided by 2

Why is it important to calculate the distance between critical points?

• To understand graph transformations

• To find the graph's height

• To calculate the graph's width

• To determine the graph's color