$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.

Slides:

Advertisements

Similar presentations

Trigonometric Identities

Advertisements

Right Triangle Trigonometry

The Inverse Trigonometric Functions Section 4.2. Objectives Find the exact value of expressions involving the inverse sine, cosine, and tangent functions.

Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x Select the correct answer:

Chapter 7 Trigonometric Identities and Equations.

Day 3 Notes. 1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find the angle.

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.

The Trigonometric Functions What about angles greater than 90°? 180°? The trigonometric functions are defined in terms of a point on a terminal side r.

Trigonometric Ratios Triangles in Quadrant I. a Trig Ratio is … … a ratio of the lengths of two sides of a right Δ.

7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y  y x.

Pre calculus Problem of the Day Homework: p odds, odds, odds On the unit circle name all indicated angles by their first positive.

Right Triangle Trigonometry Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 The six trigonometric functions of a.

Trigonometric Functions Let (x, y) be a point other then the origin on the terminal side of an angle  in standard position. The distance from.

Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The six trigonometric functions of a right triangle, with.

Section 4.6 Graphs of Other Trigonometric Functions.

Trigonometric Ratios Consider the triangle given below. 1.The box in the bottom right corner tells us that this is a right triangle. 2.The acute angle.

11. Basic Trigonometric Identities. An identity is an equation that is true for all defined values of a variable. We are going to use the identities to.

EXAMPLE 1 Find trigonometric values Given that sin  = and <  < π, find the values of the other five trigonometric functions of . 4 5 π 2.

Differences between Inverse and Reciprocal Trig Functions.

What you will learn How to use the basic trigonometric identities to verify other (more complex) identities How to find numerical values of trigonometric.

Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.

Chapter 6 Additional Topics in Trigonometry. 6.2 The Law of Cosines Objectives:  Use Law of Cosines to solve oblique triangles (SSS or SAS).  Use Law.

Review For The Midterm Exam.

Trigonometric Identities

12-2 Trigonometric Functions of Acute Angles

Chapter 6 Trig 1060.

Right Triangle Trigonometry

Bell Work Find all coterminal angles with 125° Find a positive and a negative coterminal angle with 315°. Give the reference angle for 212°.

Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.

Advanced Precalculus Notes 5.3 Properties of the Trigonometric Functions Find the period, domain and range of each function: a) _____________________________________.

13.1 Trigonometric Identities

14.2 The Circular Functions

1 What you will learn  How to find the value of trigonometric ratios for acute angles of right triangles  More vocabulary than you can possibly stand!

Section 5.3 Evaluating Trigonometric Functions

Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40

Trig – In a Nutshell Help I’m trapped in a nutshell.

EXAMPLE 1 Evaluate trigonometric functions given a point Let (–4, 3) be a point on the terminal side of an angle θ in standard position. Evaluate the six.

Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.

Periodic Function Review

Notes Over 8.2 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).

Copyright © Cengage Learning. All rights reserved. 6 Additional Topics in Trigonometry.

6.2 Law of Cosines *Be able to solve for a missing side or angle using law of cosines.

Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.

Describe the vertical shift in the graph of y = -2sin3x + 4. A.) Up 2 B.) Down 2 C.) Up 4 D.) Down 4.

Section 13.1.a Trigonometry. The word trigonometry is derived from the Greek Words- trigon meaning triangle and Metra meaning measurement A B C a b c.

Precalculus Fifth Edition Mathematics for Calculus James Stewart Lothar Redlin Saleem Watson.

Lesson 46 Finding trigonometric functions and their reciprocals.

Warm up. Right Triangle Trigonometry Objective To learn the trigonometric functions and how they apply to a right triangle.

Trigonometry Test Review!. DefinitionsGiven PointDetermine Quadrant(s) ConstraintsReference Angles Bonus Question: 5000 pts.

By Mrs. Vallejos $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.

Pythagorean Identities Unit 5F Day 2. Do Now Simplify the trigonometric expression: cot θ sin θ.

Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.

13.1 Right Triangle Trigonometry ©2002 by R. Villar All Rights Reserved.

Right Triangle Trigonometry

Trigonometric Identities and Equations

Section 5.1 Trigonometric Identities

Section 5.1A Using Fundamental Identities

Lesson 1 sine, cosine, tangent ratios

14.3 Trigonometric Identities

Properties: Trigonometric Identities

Right Triangle Trigonometry

Lesson 6.2 Law of Cosines Essential Question: How do you use trigonometry to solve and find the areas of oblique triangles?

Right Triangle Trigonometry

Lesson 5.1 Using Fundamental Identities

One way to use identities is to simplify expressions involving trigonometric functions. Often a good strategy for doing this is to write all trig functions.

Main Ideas of Hon PreCalc Ch. 5 Class 1

The Unit Circle and Graphing

Presentation transcript:

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500

The ratio represented by

What is the secant function?

The value of

What is ½?

The value of

What is ?

The value of

What is

The value of sec  when tan  = 3

What is

The amplitude of

What is ½?

The period of y = sin2x

What is  ?

The period of

What is 1?

The period of

What is 3?

The phase shift of

What is

The angle represented by

What is

The value of

What is  ?

The value of Arctan 0

What is 0 ?

The value of

What is

The value of

What is

The factors of

What are

The factors of

What are

Simplified form of

What is csc  ?

Simplify

What is

The factors of

What are

What is

This popular identity is

What is the Pythagorean Trigonometric Identity?

This is the formula for

What is sin2  ?

This is the formula for

What is cos 2  ?

The formula for

What is

This is the Law of Cosines

What is

A baseball diamond has 90’ sides and the pitcher’s mound is 60.5’ from home plate. This is the distance from the pitcher’s mound to 3rd base.

What is 63.7 feet?

What are