Section 6.1.2 Day 2 Solving Trig Equations Using Inverses.

Slides:



Advertisements
Similar presentations
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
Advertisements

7.1 – Completing the Square
2-4 completing the square
9.4 – Solving Quadratic Equations By Completing The Square
Solving Quadratic Equations by Completing the Square
SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)
Section 8.3 – Systems of Linear Equations - Determinants Using Determinants to Solve Systems of Equations A determinant is a value that is obtained from.
U4L3 Solving Quadratic Equations by Completing the Square.
Section 7.2 – The Quadratic Formula. The solutions to are The Quadratic Formula
Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².
The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Warm-up Find the missing term to make the following a perfect square trinomial. Why do you think this is called Complete the Square?
Section 8.1 Quadratic Equations  The Graphical Connection  The Principle of Square Roots  Completing the Square  Solving Equations by Completing the.
Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.
Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Section 4.7 – The Quadratic Formula Students will be able to: To solve equations using the Quadratic Formula To determine the number of solutions by using.
Math /6.3– Trigonometric Equations
Warm-up 1.What are the different ways to solve quadratic equation? Solve the following problem by completing the square.
CPM Section 9.4A Quadratic Formula. Thus far we have considered two methods for solving quadratic function- factoring and using the square root property.
ALGEBRA 1 SECTION 10.4 Use Square Roots to Solve Quadratic Equations Big Idea: Solve quadratic equations Essential Question: How do you solve a quadratic.
8-1 Completing the Square
Section Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.
Solving a Trigonometric Equation Find the general solution of the equation.
Section 7.5 Trigonometric Equations Objective: To solve linear and quadratic trigonometric equations.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
2.1 – Linear and Quadratic Equations Linear Equations.
Notes Over 5.6 Quadratic Formula
Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.
PreCalculus Section 1.6 Solve quadratic equations by: a. Factoring b. Completing the square c. Quadratic formula d. Programmed calculator Any equation.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
Notes Over 10.7 Factoring Special Products Difference of Two Squares.
Warm Up. 4.6 Quadratic Formula What THREE methods have we used so far to solve quadratics? Today you will learn the 4 th and LAST method used for solving.
PreCalculus Section 1. 6 Solve quadratic equations by: a. Factoring b
The Quadratic Formula..
AIM #1.5: How do we solve quadratic equations?
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Complete the Square Method
Solving Quadratic Equations by Completing the Square
Warm-Up.
Use the Quadratic Formula and the Discriminant
Warm – up #7 1. Solve by Factoring 3
5.6 The Quadratic Formula and the Discriminant
9.3 Solving Quadratic Equations
the square root principal and completing the square
Section 1.5 Quadratic Equations
Completing the Square CA 14.0, 23.0.
I CAN solve equations using the Quadratic Formula. lesson 9.4a.
Class Notes 11.2 The Quadratic Formula.
The Quadratic Formula.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
Section 4.4 Solve.
Section 9.4 Day 1 Solving Quadratic Equations by Completing the Square
3.4 Solving Simple Quadratic Equations, Completing the Square, and Solving Equations using Completing the Square.
Quadratic Formula & the Discriminant
Solving Quadratics Using Square Roots
Review: Simplify.
The Square Root Property and Completing the Square
Chapter 3 Section 5.
Objective - To solve quadratic equations by completing the square.
Quadratic Equations.
Do Now: Verify the x-value is a solution.
13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.
The Quadratic Formula..
6-3 Completing the Square
The Quadratic Formula..
Solving Trigonometric Equations
Presentation transcript:

Section Day 2 Solving Trig Equations Using Inverses

Lesson Objective: Students will: Solve basic trig equations using inverses Understand that the number of solutions for trig equations depends on the domain of the problem.

Linear Example 1:

Linear Example 2:

Recall Quadratics Methods for Solving : 1.Square root property 2.Quadratic formula 3.Factoring a. Common factoring b. Difference of two squares c. Trinomial d. Grouping

Quadratic Example 3:

Quadratic Example 4: U-SUB

Quadratic – Trig Identities Example 5: U-SUB

Quadratic – Trig Identities Example 6: U-SUB

Closure Solve the following equation on the specified domain.

Assignment WS Trig Equations #1-12, 1-13