Solving Through Factoring

Slides:

Advertisements

Similar presentations

2 step problems 5) Solve 0.5Cos(x) + 3 = 2.6 1) Solve 4Sin(x) = 2.6 2) Solve Cos(x) + 3 = ) Solve 2Tan(x) + 2 = ) Solve 2 + Sin(x) =

Advertisements

15.5 Double Angle Identities. Double Angle Identities.

6.2 Trigonometric Integrals. How to integrate powers of sinx and cosx (i) If the power of cos x is odd, save one cosine factor and use cos 2 x = 1 - sin.

Trigonometric Equations Section 5.5. Objectives Solve trigonometric equations.

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

7.4.2 – Solving Trig Equations, Cont’d. Sometimes, we may have more than one trig function at play while trying to solve Like having two variables.

Solving Trig Equations

Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.

7.4.3 – Solving Quadratic Like Trig Equations, Application.

Quiz 4-5 Describe how tan(x) is transformed to graph: -tan(2x)

Solving Trig Equations Starter CStarter C Starter C SolutionsStarter C Solutions Starter DStarter D Starter D SolutionsStarter D Solutions.

1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.

Practice Evaluate each of the following.

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.

Clicker Question 1 What is  x sin(3x) dx ? – A. (1/3)cos(3x) + C – B. (-1/3)x cos(3x) + (1/9)sin(3x) + C – C. -x cos(3x) + sin(3x) + C – D. -3x cos(3x)

By: Forrest Langley.  In order to solve triangles, you must use Sine, Cosine, and Tangent  Sinx= Opposite/Hypotenuse  Cosx= Adjacent/Hypotenuse  Tanx=

Trigonometry Section 7.6 Apply inverse trigonometry functions

Solving Trigonometric Equations

MATH 1330 Section 6.3.

MATH 1330 Section 6.3.

Section 5.5B Half Angle Formulas

Ch. 5 – Analytic Trigonometry

Graphs of Trigonometric Functions

9.1: Identities and Proofs

Reference Angles & Unit Circle

Review 5.1 to 5.3.

Finding a Limit as x c Plug in---Factor/Conjugate.

1 step solns A Home End 1) Solve Sin(x) = 0.24

7.1: Graphs of Sin, Cos, and Tan

Solving Trigonometric Equations

Worksheet Key 12/2/ :28 PM 13.3: The Unit Circle.

Precalculus PreAP/Dual, Revised ©2015

Precalculus PreAP/Dual, Revised ©2018 §1.7: Piecewise Functions

Linear Programming WKST

Warm-up: Find sin(195o) HW : pg. 501(1 – 18).

1 step solns A Home End 1) Solve Sin x = 0.24

9.2: Sum and Differences of Trig Functions

Clicker Question 1 What is x sin(3x) dx ? A. (1/3)cos(3x) + C

Solving Trig Equations

8.1: Graphical Solutions of Trig Functions

Graphing Solutions of Trig Functions

Solving Trigonometric Equations

Solving Trigonometric Equations (Section 5-3)

Examples Double Angle Formulas

MATH 1330 Section 6.3.

3 step problems Home End 1) Solve 2Sin(x + 25) = 1.5

Precalculus PreAP/Dual, Revised ©2018

Half-Angle Identities

Graphs of Secant, Cosecant, and Cotangent

Worksheet KEY 1) {0, 2} 2) {–1/2} 3) No 4) Yes 5) 6) 7) k = 1 8)

Trigonometric Form Section 6.5 Precalculus PreAP/Dual, Revised ©2016

Partial Fractions Decomposition

Frequency and Phase Shifts

Power-reducing & Half angle identities

11. Solving Trig Equations

7.3: Amplitude and Vertical Shifts

Page ) Sin: –0.9511; Cos: –0.3090, Tan: Quadrant III 17)

Warm Up Take out a copy of the unit circle

Solving Trigonometric Equations

Main Ideas of Hon PreCalc Ch. 5 Class 1

Trig Functions of Any Angle

Double Angle Identities

11. Solving Trig Equations

Objective: Finding solutions of trigonometric equations.

Precalculus PreAP/Dual, Revised ©2017 §5.5: Double Angles Identity

Notes 6-8: Principal Values and Inverses

Trigonometric Equations

Page ) y = 6, DE = 7, FG = 8 13) x = 4.2, JL = 14.2, MN = 13 14)

Presentation transcript:

Solving Through Factoring Section 8.3A Pre–Calculus AB PreAP/Dual, Revised ©2014 viet.dang@humble.k12.tx.us 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

Inverse Quadrants Based on Reference Angles 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

Inverse Quadrants Based on Reference Angles 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring U-Substitution As a form of substitution, plug the u in for the variable Solve Replacing the “u” for the replacement and solve 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 1 Find the solutions of 2sin2x – 3sin x + 1 = 0 in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 1 Find the solutions of 2sin2x – 3sin x + 1 = 0 in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 2 Find the solutions of sin x tan x = sin x in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 2 Find the solutions of 3sin2x – sin x – 2 = 0 in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 3 Find the solutions of 3 tan3x = tan x in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Your Turn Find the solutions of 2sin2x – sin x – 1 = 0 in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Example 4 Find the solutions of sin x tan x = sin x in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Your Turn Find the solutions of tan x cos2x = tan x in the interval [0, 2π) by showing all work 1/16/2019 4:06 PM 8.3A: Solve Through Factoring

8.3A: Solve Through Factoring Assignment Worksheet 1/16/2019 4:06 PM 8.3A: Solve Through Factoring