13.4 & 13.5 The Sine & Cosine Functions Objectives: 1.To identify properties of the sine function. 2.To graph and write sine functions. 3.To graph and.

Slides:

Advertisements

Similar presentations

Graphs of Tangent and Cotangent Functions

Advertisements

13.6 – The Tangent Function. The Tangent Function Use a calculator to find the sine and cosine of each value of . Then calculate the ratio. 1. radians2.30.

Y = tan x  Recall from the unit circle:  that tan  =  tangent is undefined when x = 0.  y=tan x is undefined at x = and x =.

6.5 & 6.7 Notes Writing equations of trigonometric functions given the transformations.

Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.

Generating the Graphs of the Trigonometric Functions By: Christopher Imm.

Section Frequency of Sine and Cosine Graphs.

Chapter 5 – Trigonometric Functions: Unit Circle Approach More Trigonometric Graphs.

Graphs of Inverse Functions. Inverse Sine Function The horizontal line test shows that the sine function is not one-to-one and has no inverse function.

Chapter 4: Circular Functions Lesson 7: Scale-Change Images to Trig Functions Mrs. Parziale.

Trigonometric Functions on Any Angle Section 4.4.

Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.

Inverses of Trigonometric Functions. The Sine Function Graph Domain: Range: All Reals -1≤y≤1 The Sine graph is a function (one output for each input).

Graphs Cosecant Section 4.6 Objectives Graph cosecant functions Know key characteristics of the cosecant function.

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.

Warm-Up: 9/14/12 Find the amplitude, period, vertical asymptotes, domain, and range. Sketch the graph.

Infinite Limits Determine infinite limits from the left and from the right. Find and sketch the vertical asymptotes of the graph of a function.

MATH II – Trigonometry

3.3 Increasing and Decreasing Functions and the First Derivative Test.

Aim: What are the graphs of tangent function and reciprocal functions?

Section 4.5 Graphs of Sine and Cosine Functions. The Graph of y=sin x.

5.3 The Tangent Function. Graph the function using critical points. What are the y-values that correspond to the x values of Graphically what happens?

13.5 – The Cosine Function. I. Writing and Graphing Cosine Functions The cosine function, y = cos θ, matches the x- coordinates of the terminal side as.

Graphing Primary and Reciprocal Trig Functions MHF4UI Monday November 12 th, 2012.

Sine & Cosine Tangent & Cotangent Secant & Cosecant.

Copyright © 2011 Pearson, Inc. 4.7 Inverse Trigonometric Functions.

Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.

Exact Values of Sines, Cosines, and Tangents  None.

Any questions from your homework? Be prepared to start notes right away.

7.4 Inverse Trig Functions. For a function to have an inverse it must be one-to- one. One-to-one functions have to pass the horizontal line test. Each.

Precalculus Honors February 9 th Students will complete their daily warm-up problems. Answer questions from previous night’s homework (page 533, numbers.

CHAPTER 5 LESSON 4 The Law of Sines VOCABULARY  None.

2.3 Basic Differentiation Formulas

Lesson: Regular Polygons, Trigonometry, & Area

Unit 6: Trigonometry Lesson: Law of coSines.

2.3 Basic Differentiation Formulas

Aim: What are the graphs of tangent function and reciprocal functions?

Graphing Sine and Cosine

The Inverse Sine, Cosine, and Tangent Functions

EXAMPLE 1 Graph sine and cosine functions

Work on worksheet with 8 multiple choice questions.

Graphing Trigonometric Functions

The Inverse Sine, Cosine, and Tangent Functions

Graphing Sine and Cosine Functions

Notes Over 9.3 Graphing a Rational Function (m < n)

Notes Over 6.4 Graph Sine, Cosine Functions.

5.3 The Tangent Function.

Aim: What are the graphs of tangent function and reciprocal functions?

Section 3.5 Cosecant Secant and Cotangent Functions

Before we start this lesson

Sum and Difference Identities

MATH 1330 Section 6.1.

The Inverse Sine, Cosine and Tangent Function

The Inverse Sine, Cosine, and Tangent Functions

Warm-up 1) What word will you use to help you remember how to find sine, cosine, and tangent for right triangles? 2) Do sides of 15, 25, and 20 correspond.

MATH III – Trigonometric functions Trigonometric Graphs MATH III –

Section 4.5 Graphs of Sine and Cosine Functions

Graphing: Sine and Cosine

Section 5.5 Graphs of Sine and Cosine Functions

Warm Up – 2/27 - Thursday Find the area of each triangle.

Warm Up Sketch one cycle of the sine curve:

Trigonometry Ratios in Right Triangles

7.3 Periodic Graphs & Amplitude Objectives:

The Inverse Sine, Cosine, and Tangent Functions

The Inverse Sine, Cosine, and Tangent Functions

2.5 Basic Differentiation Properties

What is the radian equivalent?

Presentation transcript:

13.4 & 13.5 The Sine & Cosine Functions Objectives: 1.To identify properties of the sine function. 2.To graph and write sine functions. 3.To graph and write cosine functions.

Sine Graph

Cosine Graph

Sine General FormulaCosine General Formula

1. Which musical based on Romeo & Juliet was a 60s Oscar winner? Twister Trivia… 2. What 1996 movie was hyped with the line: "It Will Blow Audiences Right Out of the Theater"? West Side Story 3. What was Will Smith’s first acting job? Fresh Prince of Belair

Homework:  13.4  P 738 – 739: 13, 15, 17, 18, 19, 23,  13.5  P 746 – 747: 1, 3, 5, 7, 13, 25, 27

13.6 The Tangent Function Objectives: 1. To graph the tangent function.

Tangent Graph

a)Period: b)Interval which cycle occurs: c)Equation for vertical asymptote:

Homework