Homework Questions. Graphing: Secant and Cosecant Section 4.5.

Slides:



Advertisements
Similar presentations
Graphs of Tangent and Cotangent Functions
Advertisements

GRAPHS OF Secant and Cosecant Functions. For the graph of y = f(x) = sec x we'll take the reciprocal of the cosine values. x cos x y = sec x x y
Copyright © Cengage Learning. All rights reserved. Trigonometric Functions: Unit Circle Approach.
Chapter 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant Learning Target: Learning Target: I can generate the graphs for tangent, cotangent, secant,
C HAPTER 14 D AY 9 Graphing Tan, Cot, Sec, Csc. G RAPHING T ANGENT tanx.
TRIGONOMETRY, 5.0 STUDENTS KNOW THE DEFINITIONS OF THE TANGENT AND COTANGENT FUNCTIONS AND CAN GRAPH THEM. Graphing Other Trigonometric Functions.
The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.
Amplitude, Period, & Phase Shift
Review
Warm Up Find the 5 key points for the following equation: y = 3 – 5sin (2x + π/3)
Graphs of Other Trigonometric Functions 4.6
Trigonometric Review 1.6. Unit Circle The six trigonometric functions of a right triangle, with an acute angle , are defined by ratios of two sides.
Pre calculus Problem of the Day Homework: p odds, odds, odds On the unit circle name all indicated angles by their first positive.
Graphs of the Other Trigonometric Functions Section 4.6.
Graphs of the Other Trigonometric Functions Section 4.6.
Section 4.6 Graphs of Other Trigonometric Functions.
Unit Circle Approach Properties of the Trigonometric Functions Section 5.
Lesson 4-6 Graphs of Secant and Cosecant. 2 Get out your graphing calculator… Graph the following y = cos x y = sec x What do you see??
Graphing Cosecant and Secant. Using the Graphing Calculator Mode— Radians Function Sequential Window— –X min = -  –X max = 3  –X scale =  /6 Window—
Homework Questions.
3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.
Graphs Cosecant Section 4.6 Objectives Graph cosecant functions Know key characteristics of the cosecant function.
4.6 Graphs of Other Trigonometric Functions Objectives –Understand the graph of y = tan x –Graph variations of y = tan x –Understand the graph of y = cot.
Precalculus Section 7.5. Warmup Graph the function. State the Domain, Range, Asymptotes, and Period 1.f(x) = -2 tan(1/3 x) 2.f(x) = sec(2x) + 1.
Chapter 4 Trigonometric Functions
Warm-up:. Homework: 7.5: graph secant, cosecant, tangent, and cotangent functions from equations (6-7) In this section we will answer… What about the.
Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Graphs of Tangent, Cotangent, Secant, and Cosecant
14.1, 14.2 (PC 4.5 & 4.6): Graphing Trig Functions HW: p.912 (3-5 all) HW tomorrow: p.913 (6, 10, 16, 18), p.919 (12-16 even) Quiz 14.1, 14.2: Tuesday,
4.2 Trigonometric Functions (part 2) III. Trigonometric Functions. A) Basic trig functions: sine, cosine, tangent. B) Trig functions on the unit circle:
Section Secant, Cosecant, and Cotangent We will evaluate reciprocal trig functions, apply properties and solve equations with reciprocals.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions.
Do Now:. 4.5 and 4.6: Graphing Trig Functions Function table: When you first started graphing linear functions you may recall having used the following.
Periodic Function Review
4.5 Graphs of Trigonometric Functions 2014 Digital Lesson.
Graphs of Trigonometric Functions Digital Lesson.
Graphs of other trigonometric functions Section 4.6.
More Trigonometric Graphs
Sullivan Precalculus: Section 5.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions Objectives of this Section Graph Transformations of.
Warm up  State the phase shift for. Then graph the function.  State the vertical shift and the equation of the midline for. Then graph the function.
Sine & Cosine Tangent & Cotangent Secant & Cosecant.
SFM Productions Presents: Another saga in your continuing Pre-Calculus experience! 4.6 Graphs of other Trigonometric Functions.
Section 7.7 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions.
1 Objectives ► Graphs of Tangent, Cotangent, Secant, and Cosecant ► Graphs of Transformation of Tangent and Cotangent ► Graphs of Transformations of Cosecant.
Ch 6.7 – Graphing Other Trig Functions. y = cscx Period: Domain: Range: Asymptotes: y = 1: y = -1: 2π2π All real numbers except πn, n is an integer All.
Section 4.2 The Unit Circle. Has a radius of 1 Center at the origin Defined by the equations: a) b)
6.7 Graphing Other Trigonometric Functions Objective: Graph tangent, cotangent, secant, and cosecant functions. Write equations of trigonometric functions.
Graphing Trigonometric Functions
Trigonometric Functions of Real Numbers 5. More Trigonometric Graphs 5.4.
Precalculus Honors February 9 th Students will complete their daily warm-up problems. Answer questions from previous night’s homework (page 533, numbers.
Pre-Calculus Honors 4.5, 4.6, 4.7: Graphing Trig Functions
Section 2.6 Rational Functions Part 2
MATH 1330 Review for Exam 3.
Ch 6.7 – Graphing Other Trig Functions
7.2 Graphs of the Cosecant, Secant, and Cotangent Functions
Lesson 4.6 Graphs of Other Trigonometric Functions
Chapter 4: Lesson 4.6 Graphs of Other Trig Functions
Day 52 Agenda: Quiz minutes Part No Unit Circle, 4-Function Calc
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Graphs of the Sine and Cosine Functions
State the period, phase shift, and vertical shift
4.6(c) Notes: Reciprocal Functions & Damped Trig Graphs
Graphing: Secant and Cosecant
Graphs of Secant, Cosecant, and Cotangent
Graph of Secant, Cosecant, and Cotangent
Section 4.6 Graphs of Other Trigonometric Functions
Graphs of Other Trigonometric Functions
7.3: Amplitude and Vertical Shifts
Trigonometric Functions
9.5: Graphing Other Trigonometric Functions
Presentation transcript:

Homework Questions

Graphing: Secant and Cosecant Section 4.5

csc (x) Flip of sin (x) Flip of sin (x) Properties Properties –Period: 2 –Domain: all real numbers except n –Range: (-∞, -1] [1, ∞) –No x-int –No y-int –y=1 when –y=-1 when

Graph of csc(x)

Graph

Graph

sec (x) Flip of cos (x) Flip of cos (x) Properties Properties –Period: 2 –Domain: all real numbers except n, n is odd –Range: (-∞, -1] [1, ∞) –No x-int –y-int = 1 –Asymptotes when, n is odd –y=1 when, n is even –y=-1 when, n is odd

Graph of sec (x)

Graph

One last problem… Write an equation for a secant function with period, phase shift Write an equation for a secant function with period, phase shift vertical shift -3.

Homework 4.5 Worksheet (csc and sec) 4.5 Worksheet (csc and sec)