7-6 Solving Trigonometric Equations Finding what x equals.

Slides:

Advertisements

Similar presentations

1.3 Solving Equations 1.5 Solving Inequalities

Advertisements

When solving trig equations there are a few things to keep in mind: 1.Before you solve any trig equation, check the domain of the problem. (Is it asking.

5.5 Solving Trigonometric Equations Example 1 A) Is a solution to ? B) Is a solution to cos x = sin 2x ?

Finding angles with algebraic expressions

Finding Exact Values For Trigonometry Functions (Then Using those Values to Evaluate Trigonometry functions and Solve Trigonometry Equations)

Solving Trigonometric Equations. First Degree Trigonometric Equations: These are equations where there is one kind of trig function in the equation and.

Solving Trigonometric Equations Trigonometry MATH 103 S. Rook.

3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.

Evaluate each inverse trigonometric function.

ALGEBRAIC EQUATIONS. EQUATIONS AND SOLUTIONS  A correct equation is like a balance scale.  In order to determine if a given value for a variable is.

Solving Trigonometric Equations

Vocabulary inequality algebraic inequality solution set 1-9 Introduction to Inequalities Course 3.

5.6 Angles and Radians (#1,2(a,c,e),5,7,15,17,21) 10/5/20151.

Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.

Mathematics for IT Lecture 4 trigonometric. TRIG REVIEW Trig Function Evaluation : How to use the unit circle to find the value of trig functions at some.

Math /6.3– Trigonometric Equations

Ac 7.4 (PC 4.4) - Do Now: Pre-Calc book. Hw: p (13, 16, 17, 25, 28, 34, 36, even) tomorrow: p.549 (60, 65, 69, 72, 77, 81, 88, 89, 92, 95,

Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Lesson 9.3 Evaluate Trigonometric Functions of Any Angle Warm-Up Standard Accessed: Students.

1 8.7 Trigonometric Equations (I) In this section, we will study the following topics: o Solving equations involving a single trig function algebraically.

1 Start Up Day 37 1.Simplify: 2, Verify:. SOLVING TRIGONOMETRIC EQUATIONS-DAY 37 OBJECTIVE : SWBAT SOLVE TRIGONOMETRIC EQUATIONS. EQ: How can we use trigonometric.

5.5 Double Angle Formulas I. Double Angle Formulas. A) B) C)

SOLVING TRIGONOMETRIC EQUATIONS Dr. Shildneck Spring, 2015.

One Answer, No Answers, or an Infinite Number of Answers.

Solving a Trigonometric Equation Find the general solution of the equation.

Section 7.5 Trigonometric Equations Objective: To solve linear and quadratic trigonometric equations.

Trigonometric Equations. Definition Example: Consider:

Warm up If sin θ= and find the exact value of each function. 1.cos 2θ 2.sin 2θ 3.Use the half-angle identity to find the exact value of the function: cos.

Algebra Review: Solving Quadratic Equations by Factoring.

4.4 Absolute Value 11/14/12. Absolute Value: The distance of a number from 0 on a number line. Written as l x l Ex. |5| (distance of 5 from 0) = 5 Ex.

Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable.

February 28 th copyright2009merrydavidson. 5-3SOLVING TRIG EQUATIONS Review: 1) Find all solutions, in degrees to: sin t = t = n n.

Chapter 4 Analytic Trigonometry Section 4.5 More Trigonometric Equations.

Solving Trig Equations Objective: Solve many different Trig equations.

Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.

SECTION 3-3 Solving Algebraic Equations: Multiplication and Division.

Solving Equations: More Than One Step The algebra tiles show the equation 2x –3 = 5 = When you solve equations, the object is to get the variable alone,

4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.

7-6 Solving Trigonometric Equations Finding what x equals.

Trigonometric Function: The Unit circle Trigonometric Function: The Unit circle SHS Spring 2014.

Analytic Trigonometry 7. Trigonometric Equations 7.5.

Section 8-5 Solving More Difficult Trigonometric Functions.

Introduction and Review Skills

Solving Trigonometric Equations

Algebraic Inequalities

Solving Absolute Value Equations

Math Objective: Solve Two-Step Equations

Trigonometric Function: The Unit circle

Trig Functions and Acute Angles

Solving Trigonometric Equations

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Bell Ringer How many degrees is a radian?

Lesson 3.1 – 3.2 How do you solve one-step equations?

Solving Trigonometric Equations

18. More Solving Equations

Unit 7B Review.

Solving Trigonometric Equations

8.1.1 Solving Simple Equations

Copyright © Cengage Learning. All rights reserved.

Example 1: Equations with Variables on Each Side

Lesson 1-0 Algebra Review.

a + 2 = 6 What does this represent? 2 a

Equations and Inequalities

SECTION 10-4 : RADICAL EQUATIONS

Solving Trigonometric Equations

Trigonometric Equations

( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )

19. More Solving Equations

Double Angle Formulas I. Double Angle Formulas. A) B) C)

6.5 Solving Trig Equations & Inequalities

Presentation transcript:

7-6 Solving Trigonometric Equations Finding what x equals

Solve for x: It is just like solving regular equations, but once you get solutions, you have to find corresponding angle measure.

Find solutions all solutions on one pass around the unit circle.

What are the rules? 1.“x” means give the answer in radians; “Θ” means give the answer in degrees. 2.“Solve for 0 ≤ x ≤ 2π” means give all the answers on one pass around the unit circle. 3.“General solution” means give one formula to represent every solution. 4.Guess what: Work on both sides of the equation using all the rules of algebra. That is a) Isolate the function or b) factor

Is that it? Well, yes, except for one footnote. Never Never Never Never divide both sides by the same trig function to get rid of it. For example, Why? Gold star to the person who can tell me.