Exam Review Chapters 2-6. 1Q. Find the exact value of sin 240° sin 240°

Slides:

Advertisements

Similar presentations

Trigonometric Functions

Advertisements

Trigonometric Functions

Quiz Find a positive and negative co-terminal angle with: co-terminal angle with: 2.Find a positive and negative co-terminal angle with: co-terminal.

Vocabulary: Initial side & terminal side: Terminal side Terminal side

Sum and Difference Formulas Section 5.4. Exploration:  Are the following functions equal? a) Y = Cos (x + 2)b) Y = Cos x + Cos 2 How can we determine.

2.5 Properties of the Trig Functions

Trigonometry Jeopardy Radians Degrees Misc Trig Misc.

Logarithmic Functions Section 2. Objectives Change Exponential Expressions to Logarithmic Expressions and Logarithmic Expressions to Exponential Expressions.

Trigonometric Functions

4.2 Trigonometric Function: The Unit circle. The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1.

Unit 8 Trigonometric Functions Radian and degree measure Unit Circle Right Triangles Trigonometric functions Graphs of sine and cosine Graphs of other.

1. Determine if f(x) has a minimum or maximum 2. Find the y-intercept of f(x) 3. Find the equation of the axis of symmetry of f(x) 4. Find the vertex of.

Ch 1 – Functions and Their Graphs Different Equations for Lines Domain/Range and how to find them Increasing/Decreasing/Constant Function/Not a Function.

Final Exam Review Questions 3 Days

Review For The Midterm Exam.

Pg. 346 Homework Pg. 346#27 – 41 odd Pg. 352 #7 – 12 all Study Trig Info!! Next Quiz is Monday! #1max = 4, a = 4#2max = 1, a = 1 #3max = 15, a = 15#4max.

Chapter 6 Test Review.

Exam Review Chapters Find the exact value of sin 240° a) ½ b) -½ c)d)

© Mark E. Damon - All Rights Reserved Round 1Round 2 Final Jeopardy.

5.6 Angles and Radians (#1,2(a,c,e),5,7,15,17,21) 10/5/20151.

Cofunction Identities

Angle Identities. θsin θcos θtan θ 0010 –π/6–1/2√3/2–√3/3 –π/4–√2/2√2/2–1 –π/3–√3/21/2–√3 –π/2–10Undef –2π/3–√3/2–1/2√3 –3π/4–√2/2 1 –5π/6–1/2–√3/2√3/3.

13.2 – Define General Angles and Use Radian Measure.

TOP 10 Missed Mid-Unit Quiz Questions. Use the given function values and trigonometric identities to find the indicated trig functions. Cot and Cos 1.Csc.

Lesson 4.2. A circle with center at (0, 0) and radius 1 is called a unit circle. The equation of this circle would be (1,0) (0,1) (0,-1) (-1,0)

Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦

Warm-up: Find the six trig ratios for a –240˚ angle.

5.1 Polynomial Functions Degree of a Polynomial: Largest Power of X that appears. The zero polynomial function f(x) = 0 is not assigned a degree.

10/19/2006 Pre-Calculus polynomial function degree nlead coefficient 1 a zero function f(x) = 0 undefined constant function f(x) = 5 0 linear function.

Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.

Section 7.5 Unit Circle Approach; Properties of the Trigonometric Functions.

Chapter 4 Trigonometric Functions Inverse Trigonometric Functions Objectives:  Evaluate inverse sine functions.  Evaluate other inverse trigonometric.

Ch 4 Trig Functions. 4.1 Radian and Degree Measures Converting from Radians to Degrees Converting from Degrees to Radians.

Graphs of Tangent, Cotangent, Secant, and Cosecant

Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Trigonometric Functions: The Unit Circle.

Trig Review. 1.Sketch the graph of f(x) = e x. 2.Sketch the graph of g(x) = ln x.

Pg. 352 Homework Study, Study, Study!! **Test Wednesday!!** #15#36-120°, -2π/3 #2368°, 112°#4723°, 23π/180 = 0.40 #5175°#290.36, 0.93, 0.38 #371.28, 1.27,

Jeopardy Dividing Poly’s Polynomials Rationals! Unit.

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

Pre-Calculus 1 st Semester Final Exam Review, Day 1 1. Write an equation to match the graph: 2. What is the domain of the function that represents the.

Do Now:. 4.5 and 4.6: Graphing Trig Functions Function table: When you first started graphing linear functions you may recall having used the following.

Find all 6 trig ratios from the given information sinθ = 8/133. cotθ = 5   9 15.

Chapter 4 Pre-Calculus OHHS.

Chapter 6 - Trigonometry Chapter Review Presentation.

Periodic Function Review

4.1 Radian and Degree Measure (part 2) V. Evaluating degrees° minutes’ seconds” (D°M’S”) A) The distance between two degrees (ex: 15°& 16°) can be 1) divided.

Trigonometric Functions Section 1.6. Radian Measure The radian measure of the angle ACB at the center of the unit circle equals the length of the arc.

Functions. Objectives: Find x and y intercepts Identify increasing, decreasing, constant intervals Determine end behaviors.

Trig Functions Review (Including Trig Quiz Solutions) MHF4UI Friday November 16 th, 2012.

Section 3.5 Trigonometric Functions Section 3.5 Trigonometric Functions.

Section 4.2 The Unit Circle. Has a radius of 1 Center at the origin Defined by the equations: a) b)

6.1 – 6.5 Review!! Graph the following. State the important information. y = -3csc (2x) y = -cos (x + π/2) Solve for the following: sin x = 0.32 on [0,

Chapter 4 Vocabulary. Section 4.1 vocabulary An angle is determined by a rotating ray (half-line) about its endpoint.

Algebra II (H) FINAL EXAM REVIEW CHAPTERS 6, 7, 8, 9, 10, 12.

4.7(b) Notes: The Other Inverse Trig. Functions

Trig/Precalc Chapter 5.7 Inverse trig functions

Final-Post Test Review

47.75⁰ Convert to radians: 230⁰.

Welcome to Jeopardy!.

Unit 7B Review.

State the period, phase shift, and vertical shift

Functions AII.7 cdf 2009.

Warm Up – 1/2 - Thursday.

4.2 Trigonometric Function: The Unit circle

Eleanor M. Savko Game One

Final-Post Test Review

MATH 1330 Final Exam Review 1.

19. More Solving Equations

Presentation transcript:

Exam Review Chapters 2-6

1Q. Find the exact value of sin 240° sin 240°

1A.

2Q. Find the exact value of the arccos (-1/2)

2A. 120°

3Q. Graph the equation:

3A.

4Q. Solve:

4A. x = 7, -4

5Q. Divide by x + 1

5A.

6Q. Find the inverse:

6A.

7Q. Find the domain:

7A. (-4,5)

8Q. Solve for x:

8A. x = 6, -1

9Q. Simplify:

9A.

10Q. Graph y = - log(x+3)

10A. (-2,0), (7,-1), (-2.9,1) x = -3 x = -3

11Q. Find the exact value of

11A.

12Q.

12A.

13Q. Convert 200° to radians.

13A.

14Q. Solve:

14A. x = 6

15Q. Find the exact value of cos 70° cos 70°sin(-20°)

15A.

16Q. Graph:

16A.

17Q. Find the exact value of

17A. π

18Q. Find the domain:

18A. (-∞,2)

19Q. Evaluate:

19A.

20Q. Simplify:

20A. 2 tan Θ

21Q. Simplify:

21A.

22Q. Find the arc length of a circle with a radius of 4 feet and a central angle of 210°.

22A. ft. ft.

23Q. Find all the zeros of the function:

23A.

24Q. Graph

24A.

25Q. Find the exact value of cos 105°. cos 105°.

25A.

26Q. What is the x-intercept of 4x + 3y = 12? 4x + 3y = 12?

26A. (3,0)

27Q. What is the period of y = 4 csc 3x ?

27A.

28Q. Solve:

28A.

29Q. Find the exact value of cos110°sec110°.

29A. 1

30Q. Factor:

30A.

31Q. Find all the zeros:

31A.

32Q. Evaluate:

32A.

33Q.

33A. 4x + 9

34Q. Expand:

34A.

35Q. Find the domain:

35A. (-∞,∞)

36Q. What is the asymptote for y = ln (x+4) – 1 ?

36A. x = - 4

37Q. Graph:

37A. (0,-3), (1,-4), (-1,-2.5)

38Q. What is the remainder when is divided by

38A. -29

39Q.

39A.

40Q. How much money will you have after 5 years if you invest $500 in a money market that pays 8% interest compounded quarterly?

40A. $742.97

41Q. Where are the asymptotes in the graph y = 2 sec (x – π) ?

41A. At odd multiples of π/2

42Q. Find a polynomial f(x) of degree 4 whose coefficients are real numbers and whose zeros are 3, -1, and 2 + i.

42A.

43Q. Find the exact value of

43A.

44Q. Evaluate: ln 1

44A. 0

45Q. Find the vertex and the axis of symmetry:

45A. (-2,-3) x = -2

46Q. Find the remaining trig functions if cos Θ = -.8 and π/2 < Θ < π.

46A.

47Q. What is the phase shift of the graph of y = 2 sin(3x+π)?

47A. left π/3

48Q. Evaluate:

48A.

49Q. Graph: y = - |x+1|

49A.

50Q. Find the exact value of

50A.