Trigonometric Equations. Definition Example: Consider:

Slides:

Advertisements

Similar presentations

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Advertisements

solution If a quadratic equation is in the form ax 2 + c = 0, no bx term, then it is easier to solve the equation by finding the square roots. Solve.

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

Solving Systems of three equations with three variables Using substitution or elimination.

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

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.

13-1 Introduction to Quadratic Equations  CA Standards 14.0 and 21.0  Quadratic Equations in Standard Form.

To solve an equation is to isolate the variable.

9.4 – Solving Quadratic Equations By Completing The Square

1.3 “Solving Linear Equations” Steps: 1.Isolate the variable. 2.To solve when there is a fraction next to a variable, multiply both sides by the reciprocal.

Trigonometric Equations Another Tough Lesson!!!. Melfi – Forgot to talk about Reference Angles Reference Angles: Associated with every angle drawn in.

3.5 – Solving Systems of Equations in Three Variables.

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

Ch 2.4 (part 1) Two Step Objective: To solve two-step variable equations using both the Inverse Property of Addition & the Inverse Property of Multiplication.

Lesson 3-5: Solving Equations with the Variable on Each Side.

Introduction to Quadratic Equations & Solving by Finding Square Roots Chapter 5.3.

5.3 Solving Trigonometric Equations

Solving Linear Equations with a variable on only one side of the equation.

Math /6.3– Trigonometric Equations

Solving Equations Day 1 TS: Demonstrate understanding of concepts Warm Up: 1)Which are solutions to the equation 2sin 2 x – sinx – 1 = 0 a) π/2b) 7 π/6.

Chapter 5 Analytic Trigonometry Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Equations.

Taking the n th Root to Solve Equations Chapter 7.1.

Trigonometric Equations 5.5. To solve an equation containing a single trigonometric function: Isolate the function on one side of the equation. Solve.

7-6 Solving Trigonometric Equations Finding what x equals.

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

SOLVING TRIGONOMETRIC EQUATIONS Dr. Shildneck Spring, 2015.

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

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.

Ch 2.4 (part 2) Multi-Step Objective: To solve multi-step variable equations by using three or more properties.

Solving Multi-Step Equations Using Inverse Operations.

2-4 Solving Equations with Variables on Both Sides.

SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.

2.4 – Solving Equations with the Variable on Each Side.

Chapter 6 Analytic Trigonometry Copyright © 2014, 2010, 2007 Pearson Education, Inc Double-Angle, Power- Reducing, and Half-Angle Formulas.

Section 8-5 Solving More Difficult Trigonometric Functions.

3-5 More on Solving Equations

Notes Over 4.2 The Multiplication Property of Equality

Solving Quadratic Equations by the Complete the Square Method

Objective: To solve two-step variable equations

Solving Equations: The Multiplication Principle

Trigonometric Equations

Quadratic Equations, Inequalities, and Functions

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

Solving Trigonometric Equations

Solving Trigonometric Equations

Solving Quadratics Using Square Roots

Solving Multiplication and Division Equations

Solving Trigonometric Equations Equations with “Multiple Angles”

Do Now: Verify the x-value is a solution.

Solving Multiplication Equations

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Multiple Angle Identities

Solving Trigonometric Equations

Solving Trigonometric Equations

TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST

Unit 4. Day 13..

A two-step equation worked out

Learn to solve 2-step equations

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Solving Trigonometric Equations

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

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

Solving Trigonometric Equations

Presentation transcript:

Trigonometric Equations

Definition

Example:

Consider:

Equations involving a Single Trig Function To solve an equation involving a single trig function: 1. Isolate the function on one side of the equation. 2. Solve for the variable

Solve:

Solve:

Equations Involving Multiple Angles

Solve:

Trig Equations in Quadratic Form

Solve by factoring:

Solve by factoring

Solve

Solve

Solve

Solve

Solve

Separate Two Functions by Factoring

Separate by Factoring

Solve

Solve