6.5 Solving Trig Equations & Inequalities. We will solve trigonometric equations & inequalities by combining algebraic techniques & trig identities There.

Slides:

Advertisements

Similar presentations

3-7 Solving Fraction Equations: Multiplication

Advertisements

Solving Rational Equations and Inequalities

1.3 Solving Equations 1.5 Solving Inequalities

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.

Simplifying More Trig Expressions

1.Start by substituting another variable (like y) for 2x and solve like we have before, BUT you must include all answers in the specified domain 2.Then.

3.8 Trig Equations (cont.) Warm-up (IN) 1.Solve: Learning Objective: to continue to learn techniques that are useful in solving trig identities, including.

Chapter Using Fundamental Identities In this chapter, you will learn how to use the fundamental identities to do the following: Evaluate trigonometric.

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

Remember! For a square root, the index of the radical is 2.

Solving Trigonometric Equations  Trig identities are true for all values of the variable for which the variable is defined.  However, trig equations,

5.3 Solving Trigonometric Equations *use standard algebraic techniques to solve trig equations *solve trig equations in quadratic form *solve trig equations.

Section 7.4 Basic Trigonometric Equations

Lesson 2- 6: Radical Functions Advanced Math Topics.

In this section, you will learn to: Use standard algebraic techniques to solve trigonometric equations Solve trigonometric equations of quadratic type.

6.4 – Solving Logarithmic Equations and Inequalities Objective: TSW solve logarithmic equations and inequalities.

Lesson 3-4 Solving Multi-Step Inequalities August 20, 2014.

TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using.

3.6 Solving Absolute Value Equations and Inequalities

Math /6.3– Trigonometric Equations

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 What you will learn  How to solve trigonometric equations and inequalities.

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

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

5.3 Solving Trigonometric Equations

5.3 Solving Trigonometric Equations Day 2 Objective: In this lesson you will be learning how to solve trigonometric equations To solve a trigonometric.

Trigonometric Equations OBJECTIVES: Use standard algebraic techniques to solve trigonometric equations Solve trigonometric equations of quadratic type.

Chapter 5 Analytic Trigonometry Solving Trig Equations Objectives:  Use standard algebraic techniques to solve trigonometric equations.  Solve.

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.

Solving Radical Inequalities. Solving radical inequalities is similar to solving rational equations, but there is one extra step since we must make sure.

4.4 – Trigonometric Functions of any angle. What can we infer?? *We remember that from circles anyway right??? So for any angle….

September 20, 2011 At the end of today, you will be able to Solve inequalities and compound inequalities Warm-up: Solve for x 1.│5x│ - 38 = x +

5-8 RADICAL EQUATIONS & INEQUALITIES Objectives Students will be able to: 1) Solve equations containing radicals 2) Solve inequalities containing radicals.

Algebra 2 Solving Radical Equations Section 7-5 Solving Square Root and Other Radical Equations Lesson 7-5.

5-8 Radical Equations and Inequalities Objectives Students will be able to: 1)Solve equations containing radicals 2)Solve inequalities containing radicals.

Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.

4A.3 - Solving Radical Equations and Inequalities

5.3 – Solving Trigonometric Equations

Solving Linear Equations

5.8 Radical Equations and Inequalities

Solving Radical Equations and Inequalities

3.3 – Solving Systems of Inequalities by Graphing

Trigonometric Equations

Section 5.5 Solving Absolute Value Equations and Inequalities

Solving Radical Equations and Inequalities

Essential Questions Solving Radical Equations and Inequalities

4.3 - Solving Radical Equations and Inequalities

Solving Equations with variables on each side

5.3 Solving Trigonometric Equations Use standard algebraic techniques like collecting like terms and factoring.

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

Solving Radical Equations

In all things of nature there is something of the marvelous.

Trigonometric Functions of Any Angle (Section 4-4)

1.7 Solving Absolute Value Equations & Inequalities

Solving Trigonometric Equations (Section 5-3)

SECTION 10-4 : RADICAL EQUATIONS

SECTION 2-4 : SOLVING EQUATIONS WITH THE VARIABLE ON BOTH SIDES

HW: Maintenance Sheet DUE

Solving Trigonometric Equations

Sum and Difference Formulas

Algebra 1 Section 12.3.

6-7: Solving Radical Equations

Trigonometric Identities

Packet #12 Applications: Newton’s Method

Example 1: Solving Rational Equations

Section 5.8 Solving Radical Equations

Sum and Difference Formulas (Section 5-4)

Solving Trigonometric Equations

6.5 Solving Trig Equations & Inequalities

Presentation transcript:

6.5 Solving Trig Equations & Inequalities

We will solve trigonometric equations & inequalities by combining algebraic techniques & trig identities There are lots of techniques! Keep in mind if the answer must be in a specified interval. Technique #1 Factoring Ex 1) Solve Note: If no interval had been specified, the answer would be:

Technique #2 Expressing in terms of only 1 trig function Note: Remember if you square both sides of an equation – you might create extra solutions. Be sure to check your answers! Ex 2) Solve

Technique #3 Think about the period! Ex 3) Solve 0 3x < 6π (3 revs!)

Technique #4 Approximating answers (radian mode) Ex 4) Solve ref = π – 1.91 =

Technique #5 Inequalities where [0, 2π] Ex 5) Solve

Homework #604 Pg 314 #1–15 odd, 21, 23, 27, 32, 37, 39, 53 Even Answers: #32: 0.91, 2.48, 4.05, 5.62