2.5 Cont. Warm-up (IN) Learning Objective: To know the domain and range of the trig functions, and to use the Even-Odd Properties to find the Exact values.

Slides:

Advertisements

Similar presentations

2.2 Cont. Warm-up (IN) Learning Objective: To understand the origins of the Pythagorean Identities and begin using them in trig expressions. Also, to understand.

Advertisements

3.1 The inverse sine, cosine, and tangent functions Warm-up (IN) 1.What is the domain and range of ? 2.True or False: The graph of is decreasing on the.

2.8 Cont. Warm-up (IN) 1. Graph Learning Objective: To fit a sinusoidal curve to a set of data.

3.8 Trig Equations (cont.) Warm-up (IN) 1.Solve: Learning Objective: to continue to learn techniques that are useful in solving trig identities, including.

Sullivan Algebra and Trigonometry: Section 6.5 Unit Circle Approach; Properties of the Trig Functions Objectives of this Section Find the Exact Value of.

2.4 Trig Functions of General Angles Warm-up (IN) Learning Objective: To find all 6 trig functions of a resulting triangle given a point anywhere in the.

Properties of the Trigonometric Functions. Domain and Range Remember: Remember:

7.4 Areas of Triangles and Quadrilaterals

5.8 Quadratic Inequalities

2.5 Properties of the Trig Functions

4.3 The Inverse of a Matrix Warm-up (IN)

TODAY IN ALGEBRA…  Warm Up: Review Cross Multiplication  Learning Goal: 3.6 You will solve proportions using cross products  Independent Practice.

More Practice with Exponential Functions Warm-up Quick Quiz! Learning Objective: to use exponential functions in other real life situations and begin to.

Rational Functions Learning Objective: to find the domain and intercepts for rational functions Warm-up (IN) 1.Factor completely 2.Find the vertex, x-

Approximating Zeroes Learning Objective: to be able to find all critical points of a polynomial function. Warm-up (IN) Describe the graph: 1. 2.

4.2 Matrix Multiplication Warm-up (IN) Give the dimensions of each matrix. Identify the entry at each location of the matrix. Learning Objective: to multiply.

1.1 Arithmetic Sequences and Series Warm-up (IN) 1.A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third.

4.7 Inverse Trigonometric Functions

Precalculus Section 7.5. Warmup Graph the function. State the Domain, Range, Asymptotes, and Period 1.f(x) = -2 tan(1/3 x) 2.f(x) = sec(2x) + 1.

3.3 Trig Identities Warm-up (IN) 1.True or False: 2.True or False: Learning Objective: To understand that establishing trig identities provides the skills.

2.2 Function Library Learning Objective: to identify different types of functions and their transformations. Also, to graph piecewise functions. Warm-up.

3.6 Pythagorean Theorem Warm-up (IN) 1.Find the area of a square whose sides are 10 units long. 2. The square of what number is 2704? 3. Evaluate each.

2.3 Computing the Values of Trig Functions of Acute Angles Warm-up (IN) Learning Objective: To compute values of common trig expressions, both by hand.

6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.

2.1 Review of Functions Learning Objective: to remember what a function is and what to do with it. Warm-up (IN) 1.Write down everything you think of when.

2.3 Introduction to Functions

5.5 Quadratic Formula Warm-up (IN) Learning Objective: To use the quadratic formula to find real roots of quadratic equations and to use the roots to find.

2.6 Special Functions Warm-up (IN) Learning Objective: to write and graph piecewise and absolute value functions and to apply them to real world situations.

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

1.1 Cont. Give the first 4 terms of the sequence: a. b. Warm-up (IN)

Rational Functions Learning Objective: To find vertical asymptotes, horizontal asymptotes, holes, and one or two key points, then graph rational functions.

Exponential Functions Learning Objective: to explore the graphs of exponential functions and the natural base. Warm-up (IN) 1.Complete the table. 2.Do.

1) State the excluded values: 2) Simplify the expression Answers: 1) -9,5 2) Homework: HW P6B (15-31 odds) WarmUp for Wed (8/15) – Thurs (8/16)

5.3 Properties of the Trigonometric Function. (0, 1) (-1, 0) (0, -1) (1, 0) y x P = (a, b)

3.4 Sum and Difference Formula Warm-up (IN) 1.Find the distance between the points (2,-3) and (5,1). 2.If and is in quad. II, then 3.a. b. Learning Objective:

4.7 Inverse Trigonometric Functions 1. Recall: Inverse Functions O When does a function have an inverse? 2.

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

3.7 Trig Equations Warm-up (IN) 1.Solve: 2.Find the exact value of: Learning Objective: to identify numerous solutions to trig equations, understand the.

3.2 The Inverses Continued Warm-up (IN) 1.What is the domain and range of ? 2.True or False: The graph of is increasing on the interval and. 3. If and,

Evaluating Logs and Antilogs Warm-up Solve: Learning Objective: to evaluate and solve equations with logs of bases other than those we’re used to.

1.2 Geometric Sequences and Series Warm-up (IN) 1.Find the sum of the arithmetic series: a …+460 b. Learning Objective: to understand what.

Warm–up #2. Warm–up #2 Solutions y x │ –2 – 1 │ │ –1 – 1 │ │ 0 – 1 │ │ 1 – 1 │ │ 2 – 1 │ –2 – x │ y – 1 │ y.

WARM UP: Linear Equations multiple choice Learning Targets :

1.8 Absolute Value Equations and Inequalities Warm-up (IN) Learning Objective: to write, solve and graph absolute value in math and in real-life situations.

2.6 Cont. Warm-up (IN) 1.Identify the transformations from to 2.Graph Learning Objective: To be able to identify the amplitude, period, 4 sub- intervals,

5-2B Two-Point Equation of a Line Warm-up (IN) Learning Objective: to determine the equation of a line through 2 given points. Rewrite the equations in.

Applications of Sequences and Series Learning Objective: to apply sequences and series to real world situations Warm-up (IN) HW/INB Check! When you’re.

February 6, 2012 At the end of today, you will be able to understand inverse trig functions. Warm-up: Trig Review without a calculator

2.6 Graphing Sine and Cosine Functions Warm-up (IN) 1.Identify the transformations from to Learning Objective: To graph sine and cosine functions and to.

5-1B Rate of Change Warm-up (IN) Learning Objective: to understand that slope is the rate of change of one quantity relative to another and to be able.

ANSWERS a Warm-Ups are 6.2: mi b. 238,900 mi Classwork: Book: pg.487; all.

3.6 Product-to-Sum and Sum-to- Product Formulas Warm-up (IN) 1.Find the exact value of: Learning Objective: To be able to properly identify which product-to-sum.

2.8 Phase Shift and Sinusoidal Curve Fitting Warm-up (IN) - none Learning Objective: To graph sinusoidal functions of the form using the amplitude, period,

1.6 Angles Warm-up (IN) Learning Objective: to name and measure anglesand to use them in various real-world situations Use the diagram: 1.Name all the.

Sullivan Precalculus: Section 5.3 Properties of the Trig Functions Objectives of this Section Determine the Domain and Range of the Trigonometric Functions.

1.2 Cont. Learning Objective: to continue to find terms of sequences and then to find the sum of a geometric series. Warm-up (IN) 1.Give the first 4 terms.

Pop Quiz! PUT EVERYTHING OFF YOUR DESK!. Homework Log Wed 2/24 Lesson 7 – 4 Learning Objective: To use fundamental properties of trig to find sides Hw:

2.5 Inverses Warm-up (IN) Learning Objective: to find the inverse of a relation or function and to determine whether the inverse of a function is a function.

5.7 Inverse Trig Functions. Does the sine function have an inverse?

More Trig - Radian Measure and Arc Length Warm-up Learning Objective: To convert from degree measure to radian measure and vice versa and to find arc length.

Inverse Trigonometric Functions

6.5 Applications of Common Logarithms

Evaluate each expression. Hint: Use the unit circle.

Factor a difference of squares.

Warm-up: HW: pg. 490(1 – 4, 7 – 16, , 45 – 48)

Trigonometric Functions: The Unit Circle (Section 4-2)

Inverse Trigonometric Functions (Section 4-7)

5.3 Properties of the Trigonometric Function

Chapter 2 Section 3.

Evaluate each expression. Hint: Use the unit circle.

Presentation transcript:

2.5 Cont. Warm-up (IN) Learning Objective: To know the domain and range of the trig functions, and to use the Even-Odd Properties to find the Exact values of the Trig functions. 1.Find the exact value of the 6 trig functions, given is on the unit circle. 2.Find the exact value of the 6 trig functions, given P(4,-3) is on the circle 3.Find the exact value of

Even-Odd Functions Odd Even Odd Ex 1 – Find the exact value:

D: R: Domain and Range of 6 trig functions given Except odd multiples of Except int. multiples of Except odd multiples of Except int. multiples of

HW – pg. 172 #37-41,47-51,55-57,61-64, Out – What is the domain of ? Summary - Today I learned… Don’t forget about POW!! Calculator announcement! Notebook Test Next class!