Homework Questions

Unit Circle Quiz 1 You have 3 minutes!

Graphing sin(x) and cos(x) Section 4.4 Graphing sin(x) and cos(x)

Periodic: A function is periodic if for some real number α, f (x+ α) = f (x) for each x in the domain. The least positive value for α for which f (x+ α) = f (x) is the period of the function.

Examples…

Graph on your calc: y = sin(x) and determine if periodic (ZOOM – TRIG)

Properties of sin(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1] X-intercepts: nπ, where n=integer Y-intercept: 0 Max values: y=1 where Min values: y= -1 where

Example Find by looking at the graph Just like going around the unit circle twice and then back to

Example Find the values of Ө where sin Ө = 0

Another Example

Graph y = sin x for 3π ≤ x ≤ 5π

Graph cos x

Graph cos x

Properties of cos(x) Period = 2π Domain: (-∞, ∞) Range: [-1, 1] X-intercepts: , where n=integer Y-intercept: 1 Max values: y=1 where n is even Min values: y= -1 where n is odd

Determine y=sin x, y=cos x, or neither

Homework Worksheet