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

Slides:

Advertisements

Similar presentations

Example Express -8sinx° + 15cosx° in the form ksin(x + )° *********

Advertisements

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) =

In which quadrant is sinx 0?. QuadrantIII In which quadrant is cosx 0?

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.

Warm Up sign Up. APC Lesson 26  Essential Question: What is the cosine double angle identity?  Standard: Prove and apply trigonometric identities.

Find the period of the function y = 4 sin x

Practice. Graph and find the following (unless it doesn’t apply to that type of graph): amplitude, period, increment, sinusoidal axis, starting.

Tips For Learning Trig Rules. Reciprocal Rules Learn:

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

Barnett/Ziegler/Byleen Chapter 4

 Content  What is derivation?  Derivation of trigonometry function  Derivation’s rules.

Warm Up Determine the derivative of each of the following.

7.1.1 Trig Identities and Uses

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

Warm Up Write an equation of the tangent line to the graph of y = 2sinx at the point where x = π/3.

A Review of Trigonometric Functions

Dean Bates P derivatives of trig functions.

Clicker Question 1 What is the derivative of f (x ) = 2x sin(x ) ?

Jeopardy Power Rule Product Rule Quotient Rule Trig Functions Object Motion $100 $200 $300 $400 $500 $ $100 $200 $300 $400 $ $500 Final Jeopardy.

Trigonometry Review Find sin(  /4) = cos(  /4) = tan(  /4) = Find sin(  /4) = cos(  /4) = tan(  /4) = csc(  /4) = sec(  /4) = cot(  /4) = csc(

Describe the vertical shift in the graph of y = -2sin3x + 4. A.) Up 2 B.) Down 2 C.) Up 4 D.) Down 4.

BELL-WORK TCAP Bell-Work # What is the cotangent of angle x if sec(x) = 12 5.

Simplify the given expression: sec²t csct csc²t sect.

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)

Trigonometric Identity Review. Trigonometry Identities Reciprocal Identities sin θ = cos θ = tan θ = Quotient Identities Tan θ = cot θ =

Ch 6.7 – Graphing Other Trig Functions. y = cscx Period: Domain: Range: Asymptotes: y = 1: y = -1: 2π2π All real numbers except πn, n is an integer All.

Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.

Math 1304 Calculus I 3.2 – Derivatives of Trigonometric Functions.

Chapter 10 – Trigonometric (Functions) Q1

sin x is an odd, periodic function with 2 as the least period

Derivative of f (x) =sin (x)

Section 5.1 Trigonometric Identities

Solving Trigonometric Equations

Simplifying Trig. Identities

MATH 1330 Review for Exam 3.

C4 Integration.

Ch. 5 – Analytic Trigonometry

Graphs of Trigonometric Functions

9.1: Identities and Proofs

Ch 6.7 – Graphing Other Trig Functions

Review 5.1 to 5.3.

Sum and Difference Identities for the Sin Function

MATH 1330 Section 5.1.

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

Lesson 23 – Secondary Trigonometric Functions & Inverse Trig Functions

Copyright © Cengage Learning. All rights reserved.

Warm-up: 1) Given sin = ½ and and csc  > 0 can you find the angle measure  definitively? Given cosx = − And sinx < 0 find the other five trigonometric.

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

Pythagorean Identities

One way to use identities is to simplify expressions involving trigonometric functions. Often a good strategy for doing this is to write all trig functions.

Pyrhagorean Identities

Last time… Homework questions?.

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

Trigonometric Identities

Solving Through Factoring

8.1: Graphical Solutions of Trig Functions

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

Half-Angle Identities

Graphing Other Trig. Functions

Lake Zurich High School

Graph of Secant, Cosecant, and Cotangent

Jeopardy Hosted by Mr. Guthrie.

Chapter 5 Sections 2.3 – 2.4 – 2.5.

Trigonometric Functions

Main Ideas of Hon PreCalc Ch. 5 Class 1

Warm-up: (1 − sin 2 x) sec 2 x = cos 2 x sec 2 x = 1

Getting ready for Pre-Calculus class.

Copyright © Cengage Learning. All rights reserved.

Presentation transcript:

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

Limit as x 0 sin x x 1

Limit as x 0 1-cos x x

sin /6 = 1/2 sin /4 =  2 / 2 sin /3 =  3 / 2 sin /2 = 1

cos /6 =  3 / 2 cos /4 =  2 / 2 cos /3 = 1 / 2 cos /2 =

tan /6 =  3 / 3 tan /4 = 1 tan /3 =  3 tan /2 = DNE

Do you know what... sin2x + cos2x = 1

Do you know what... sec2x tan2x + 1 =

Do you know what... csc2x cot2x + 1 =

Do you know what... sin 2x 2sinxcos x =

Do you know what... cos2x - sin2x cos 2x =

Do you know what... cos2x 1 - sin2x =

Do you know what... tan x =

Do you know what... cot x =

Do you know what... 1/2 sin 2x sinxcos x =

I Love calculus