Warm Up May 8 th Evaluate each of the following. 1.tan(570°)2. csc(11π/6) 3.cot(5π/2)4. sec(-210°) Solve for θ if 0°<θ<360° and 0<θ<2π 5. sinθ = √2/26.

Slides:



Advertisements
Similar presentations
Warm Up Evaluate each of the following.
Advertisements

Warm Up Convert each measure from degrees to radians ° °
Trigonometric Functions of Any Angles
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?
13.1 Assignment C – even answers 18. sin = 4/1334. B = 53 o cos = a = tan = b = cot = sec = 38. A = 34 o csc = 13/4 b = c =
15.5 Double Angle Identities. Double Angle Identities.
Solving Trigonometric Equations. First Degree Trigonometric Equations: These are equations where there is one kind of trig function in the equation and.
Solving Trig Equations
7.1 – Basic Trigonometric Identities and Equations
3.7 Evaluating Trig Functions
Multiple Solution Problems
6.5 – Inverse Trig Functions. Review/Warm Up 1) Can you think of an angle ϴ, in radians, such that sin(ϴ) = 1? 2) Can you think of an angle ϴ, in radians,
Lesson 24 – Double Angle & Half Angle Identities
Review For The Midterm Exam.
Trigonometric Identities
Warm Up Sign Up. AccPreCalc Lesson 27 Essential Question: How are trigonometric equations solved? Standards: Prove and apply trigonometric identities.
5.6 Angles and Radians (#1,2(a,c,e),5,7,15,17,21) 10/5/20151.
Warm Up Use Pythagorean theorem to solve for x
November 5, 2012 Using Fundamental Identities
1 + tan2u = sec2u 1 + cot2u = csc2u
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.
Pg. 346/352 Homework Pg. 352 #13 – 22, 45, 46 Study for trig memorization quiz. Hand draw graphs of the six trig functions and include domain, range, period,
Y x Radian: The length of the arc above the angle divided by the radius of the circle. Definition, in radians.
Unit 4: Trigonometry Minds On. Unit 4: Trigonometry Minds On AngleSinCosTan.
Trig Review. 1.Sketch the graph of f(x) = e x. 2.Sketch the graph of g(x) = ln x.
Pg. 362 Homework Pg. 362#56 – 60 Pg. 335#29 – 44, 49, 50 Memorize all identities and angles, etc!! #40
Objective: use the Unit Circle instead of a calculator to evaluating trig functions How is the Unit Circle used in place of a calculator?
Inverses of Trigonometric Functions 13-4
W ARM UPM AY 14 TH The equation models the height of the tide along a certain coastal area, as compared to average sea level (the x-axis). Assuming x =
6.2.1 – The Basic Trig Functions. Now, we have a few ways to measure/view angles – Degrees – Radians – Unit Circle – Triangles.
Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Lesson 9.3 Evaluate Trigonometric Functions of Any Angle Warm-Up Standard Accessed: Students.
Check Your Homework Answers with a Partner & Around the Room… Unit Circle Quiz Day!
Practice Evaluate each of the following.
Trig Identities in Equations Brought to you by Seamus and Lucas.
Find all 6 trig ratios from the given information sinθ = 8/133. cotθ = 5   9 15.
IB Math HL - Santowski 1 Lesson 21 - Review of Trigonometry IB Math HL – Santowski 12/25/2015.
360°450°630°720°090°180°270° 540° Where θ is given for Where are the solutions and how many solutions?
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.
4.4 – Trigonometric Functions of any angle. What can we infer?? *We remember that from circles anyway right??? So for any angle….
Quiz 36 Application Problem #1 1. Convert from revolutions into radians 2. Write the Equation and fill in information 3. Convert from ft/sec to mi/hr 4.
Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.
4-6: Reciprocal Trig Functions and Trigonometric Identities Unit 4: Circles English Casbarro.
Describe the vertical shift in the graph of y = -2sin3x + 4. A.) Up 2 B.) Down 2 C.) Up 4 D.) Down 4.
Activity 4-2: Trig Ratios of Any Angles
Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.
4.3 Right Triangle Trigonometry Objective: In this lesson you will learn how to evaluate trigonometric functions of acute angles and how to use the fundamental.
Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.
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.
Trigonometry Review.
Simplifying Trig. Identities
MATH 1330 Section 6.3.
MATH 1330 Section 6.3.
Solving Trigonometric Equations
Trigonometry Extended: The Circular Functions
7.1 – Basic Trigonometric Identities and Equations
18. More Solving Equations
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
Unit 7B Review.
Solving Trigonometric Equations
MATH 1330 Section 6.3.
3 step problems Home End 1) Solve 2Sin(x + 25) = 1.5
Warm-up: (put at top of today’s assignment p.336)
7.1 – Basic Trigonometric Identities and Equations
3.7 Evaluating Trig Functions
Trigonometric Functions
Presentation transcript:

Warm Up May 8 th Evaluate each of the following. 1.tan(570°)2. csc(11π/6) 3.cot(5π/2)4. sec(-210°) Solve for θ if 0°<θ<360° and 0<θ<2π 5. sinθ = √2/26. cosθ = -1/2 7. tanθ = -1

Homework Questions??

QUIZ TOMORROW!! Converting between degrees & radians Drawing angles and finding reference angles Finding coterminal angles Find all trig ratios given a point Given 1 trig ratio and info about another (positive or negative), find all trig ratios Use the unit circle to evaluate all trig functions

CALCULATOR ACTIVE Determine all of the solutions 0°< x < 360° 1.sinx = 1/2 2.tanx = 1 3.cosx = sinx = -5/2

Determine all of the solutions 0 < x < 2π 2cos x – 1 = 0

Determine all of the solutions 0 < x < 2π

4sin 2 x = 1

Reciprocal Identities

Quotient Identities

Examples: Simplify Completely (cos x)(csc x) =