Section 6-3 Trig B.notebook

Section 6­3 Trig B.notebook
November 08, 2016
Homework Questions
Warm­Up
1. Explain why 2π is the distance around a unit circle.
2. Find cos (6π)
3. Find cos (­5π)
4. Find sin ((-15π)/2)
5. Find sin ((7π)/2)
Mar 28­10:45 AM
Sec. 6.3 Graphing Sine & Cosine Functions
•
•
I can change between radian and degree measure.
I can locate angles expressed in radian on the unit circle.
Periodic Function: A function where the values of the domain are repeated in a regular pattern. They are the same for each interval of the domain.
Dec 12­1:13 PM
Are the following graphs periodic?
If so what is the period of the
graph?
The interval is the period of the function.
Oct 15­8:42 AM
Graph y = sin x
Oct 15­8:56 AM
Graph y = cos x
Feb 20­9:42 AM
Feb 20­9:42 AM
1
Section 6­3 Trig B.notebook
November 08, 2016
Graph y = cos x on same coordinate plane as y = sin x, use a thick line for cos x
Graph it on graphing calculator:
*Change mode to radians
What is the period?
What is the domain?
What is the range?
What is the same?
What has changed?
Oct 20­8:12 AM
Finding the value.
Examples:
Oct 15­9:08 AM
Use a graphing calculator to solve
for 0 < x < 2π:
sinx - cosx = 0
sinx - cosx = 1
sinx - cosx > 1
sinx - cosx < 1
sinxcosx < 1
Oct 15­9:07 AM
Feb 19­2:09 PM
Assignment: Sec. 6.3
p. 364 #13­15, 18­30, 33­39, 53
• I can graph and identify the domain and range of a sine and cosine function.
• I can find the value of a trigonometric function.
Oct 20­8:17 AM
2