Trigonometric Equations

Slides:

Advertisements

Similar presentations

EXAMPLE 1 Evaluate inverse trigonometric functions Evaluate the expression in both radians and degrees. a.cos –1 3 2 √ SOLUTION a. When 0 θ π or 0° 180°,

Advertisements

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

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

Essential Question: How do we find the non-calculator solution to inverse sin and cosine functions?

Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///

Trigonometric Equations Edited by Mr. Francis Hung Last Updated:

1 8.1 Inverse Trigonometric Functions In this section, we will study the following topics: Definitions of the inverse trig functions Evaluating inverse.

Solving for (3 Ways). Examples Without using a calculator, what angle(s) would satisfy the equation ?

Inverse Trig functions

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

Quadratic Relations Solving Quadratic Equations Day 3: Solve by Factoring Tuesday, January 05, 20161Day 2 - Solve by Factoring.

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

Trigonometric Equations. Definition Example: Consider:

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.

Chapter 8: Trigonometric Equations and Applications. Section 8.1: Simple Trigonometric Equations.

8.2 Inverse Trig Functions

Using the zero product property to solve equations

Inverse Trigonometric: Integration

Solving Quadratic Equations

Welcome to Precalculus!

Introduction to Trigonometric Functions

Solving Trigonometric Equations

Finding Zeros of Polynomials

Functions, Symmetry, and the Parent Functions

Algebraic Expressions

Introduction to Trigonometric Functions

Honors Precalculus October 24, 2016 Mrs. Agnew

Chapter 3 Section 3.

Exponential Functions

Honors Precalculus April 16, 2018 Mr. Agnew

Simplifying Logarithms

Differentiation Rules (Part 2)

Honors Precalculus Mrs. Agnew

Honors Precalculus April 11-12, 2018 Mr. Agnew

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

Trigonometric Formulas

Trigonometric Identities

Honors Precalculus October 24, 2017 Mr. Agnew

Simplifying Logarithms

Exponential and Logarithmic Equations

Composite & Inverse Functions

5.2 Verifying Trigonometric Identities

Finding Zeros of Polynomials

Derivatives of Inverse Functions

Solving Trigonometric Equations

Advanced Placement Calculus BC March 28-29, 2018 Mrs. Agnew

Algebraic Expressions

Solving Trigonometric Equations

Trigonometric Identities

Honors Algebra II with Trigonometry Mr. Agnew

Exponential Functions

Solving Quadratic Equations

Functions, Symmetry, and the Parent Functions

Graphing Piecewise Functions

Honors Algebra II with Trigonometry Mrs. Stacey

Honors Precalculus October 25, 2016 Mrs. Agnew

Honors Algebra II with Trigonometry Mr. Agnew

Honors Precalculus October 31, 2016 Mrs. Agnew

Angle Sum and Difference Formulas

Solving Quadratic Equations by Factoring

Honors Algebra II with Trigonometry Mr. Agnew

Trigonometric Equations

Evaluating Expressions and Solving Equations

Honors Algebra II with Trigonometry Mr. Agnew

Solving Systems of Two Equations

Angle Sum and Difference Formulas

19. More Solving Equations

Honors Algebra II with Trigonometry Mr. Agnew

Skills Check Factoring (after the HW Check)

Presentation transcript:

Trigonometric Equations Honors Precalculus December 2 and 5, 2016 Mrs. Agnew

Essential Question Essential Vocabulary How do you solve trigonometric equations? Essential Vocabulary Trigonometric Equation Inverse Trigonometric Function Trigonometric Identities

Trigonometric Equations Steps to solve a trigonometric equation: Ensure that there is only one trigonometric function (use identities) Isolate trigonometric function Use inverse trig functions to “free” variable Find ALL answers (and all coterminal) Answers may be written in degrees or radians… we will use radian measure.

Trigonometric Equations Hints when solving trig equations… Use identities to leave only one trig function Look to Factor GCF Quadratic Type Equation Check with calculator

Practice and Homework Guided Practice: page 465 – 468 #12 – 80 (Even), 94, 104, 106 Homework: page 465 – 468 #11, 15, 19, 27, 29, 43, 57, 59 #63, 71, 75, 93, 103, 105