Download PreCalculus Fall 2013 Lesson 055 _Graphing the reciprocal trig

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1
Lesson Plan #055
Name ________________________________
Class: PreCalculus
Date: Tuesday February 27th, 2014
Topic: Graphing the reciprocal trigonometric functions
Aim: How do we graph the reciprocal trig functions?
Objectives:
1) Students will be able to graph the reciprocal trigonometric functions
HW# 055: Page 600 #’s 14, 26, 31
Do Now:
Compare the graph of y  sin x and its reciprocal function
How can you use the graph of y=sinx to graph y=cscx?
y  csc x
.
Procedure:
Write the AIM and DO NOW
Get students working!
Take attendance
Give back work
Go over HW
Collect HW
Assignment #1:
How can we use the graph of y = cosx to sketch the graph of y
secx?
Assignment #2:
Sketch the graph of
y  2sec
x
2
=
2
Assignment #3:
Sketch the graph of
Assignment #4:
A) Sketch the graph of
y   csc(4 x   )
y  2sec( x   )  1
B) State the locations of the vertical asymptotes.
C) What is the period for this function?
D) State the y-intercept if any?
E) Determine if this function is even, odd or neither?
F) What is the minimum value of the function in the interval [0.5-1.5]?
G) In part F, what is the minimum value?
H) What is the value of the function at x = .75?
I) In the interval [0.5-1.5], for what value(s) of x is the function equal to 5?