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Unit 3: Trig Identities Jeopardy 300 400 200 100 200 400 300 100 400 300 200 100 200 300 400 Harder Verify/Simplify Hardest Verify/Simplify Basic Verify/Simplify Applying Identities
100 Basic Identities Simplify to a single trigonometric Function Question: Answer:
200 Basic Identities Question: Answer: Verify the identity
300 Basic Identities Question: Answer: Verify the identity
400 Basic Identities Question: Answer: Verify the identity.
100 Harder Identies Verify the identity Question: Answer:
200 Harder Identities Verify the identity Question: Answer:
300 Harder Identities Question: Answer: Simplify the identity
400 Harder Identities Question: Answer: Verify the identity
100 Hardest Identities Verify the identity Question: Answer:
200 Hardest Identities Question: Answer: Verify the identity.
300 Hardest Identities Question: Answer: Verify the identity
400 Hardest Identities Question: Answer: Verify the identity.
100 Applying Identities Question: Answer: Find the exact value.
200 Applying Identities Answer: Question: If csc α = 25/7 and sec β = 5/4, find sin (α – β). Assume both angles are in quadrant I.
300 Applying Identities Question: Answer: Find the exact value
400 Applying Identities Question: Answer: If csc = 7/5 and terminates in quadrant II, find the exact value of sin 2 .
Final Jeopardy Question: Simplify
+ 4.4 Trigonometric Functions of Any Angle *reference angles *evaluating trig functions (not on TUC)
Pythagorean Identities Unit 5F Day 2. Do Now Simplify the trigonometric expression: cot θ sin θ.
Basic Trigonometric Identities In this powerpoint, we will use trig identities to verify and prove equations.
Trig/Precalculus Section 5.1 – 5.8 Pre-Test. For an angle in standard position, determine a coterminal angle that is between 0 o and 360 o. State the.
4.4 Trigonometric Functions of Any Angle. Let be an angle in Standard position and (x,y) on the terminal side Let r ≠ 0.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.2.
Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x Select the correct answer:
Jeopardy Simplify Trig expressions Verify Trig Identities Find all Solutions Solutions with multiple angles Solutions with factoring Q $100 Q $200 Q $300.
Day 3 Notes. 1.4 Definition of the Trigonometric Functions OBJ: Evaluate trigonometric expressions involving quadrantal angles OBJ: Find the angle.
14.2 The Circular Functions Locate the points on the unit circle and identify the angle measure in standard position that would pass through that point.
Using Fundamental Identities Objectives: 1.Recognize and write the fundamental trigonometric identities 2.Use the fundamental trigonometric identities.
EXAMPLE 1 Find trigonometric values Given that sin = and < < π, find the values of the other five trigonometric functions of . 4 5 π 2.
Remember an identity is an equation that is true for all defined values of a variable. We are going to use the identities that we have already established.
Chapter 6 – Trigonometric Functions: Right Triangle Approach Trigonometric Functions of Angles.
Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
4.4 Trig Functions of Any Angle Objectives: Evaluate trigonometric functions of any angle Use reference angles to evaluate trig functions.
7.3 Trigonometric Functions of Angles. Angle in Standard Position Distance r from ( x, y ) to origin always (+) r ( x, y ) x y y x.
Using Fundamental Identities To Find Exact Values. Given certain trigonometric function values, we can find the other basic function values using reference.
Trigonometry/Precalculus ( R ) Section 5.1 – 5.3 Pre-Test.
EXAMPLE 1 Evaluate trigonometric expressions Find the exact value of (a) cos 165° and (b) tan. π 12 a. cos 165° 1 2 = cos (330°) = – 1 + cos 330° 2 = –
Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.
PreCalculus 89-R 8 – Solving Trig Equations 9 – Trig Identities and Proof Review Problems.
1.5 Using the Definitions of the Trigonometric Functions OBJ: Give the signs of the six trigonometric functions for a given angle OBJ: Identify the quadrant.
Section 5.2 Trigonometric Functions of Real Numbers Objectives: Compute trig functions given the terminal point of a real number. State and apply the reciprocal.
OBJECTIVES: 1. DEFINE THE TRIGONOMETRIC RATIOS IN THE COORDINATE PLANE. 2. DEFINE THE TRIGONOMETRIC FUNCTIONS IN TERMS OF THE UNIT CIRCLE. 6.4Trigonometric.
Chapter 6 Trig Find an equation that completes the fundamental trigonometric identity. Sin(-x)= 1.csc x 2.-sin x 3.-csc x 4.sin x.
Advanced Precalculus Notes 5.3 Properties of the Trigonometric Functions Find the period, domain and range of each function: a) _____________________________________.
Using Trig Formulas In these sections, we will study the following topics: o Using the sum and difference formulas to evaluate trigonometric.
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.
Sum and Difference Formulas New Identities. Cosine Formulas.
Section 1.4 Trigonometric Functions an ANY Angle Evaluate trig functions of any angle Use reference angles to evaluate trig functions.
The Trigonometric Functions What about angles greater than 90°? 180°? The trigonometric functions are defined in terms of a point on a terminal side r.
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.
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.
Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 5 Trigonometric Identities.
VerifyTriangles Sum/Difference Formulas Half Angle, Product to Sum, Sum to Product FINAL JEOPARDY.
Section 5.5. In the previous sections, we used: a) The Fundamental Identities a)Sin²x + Cos²x = 1 b) Sum & Difference Formulas a)Cos (u – v) = Cos u.
The Unit circle. Def: If the terminal side of an angle is in standard position and intersects the unit circle at P(x,y) then x = cos Ɵ and y = sin Ɵ Trig.
By: Alvin Nguyen. Unit Circle Jeopardy ConversionsRotation AnglesReference Angles Trig FunctionsWord Problems
4-6: Reciprocal Trig Functions and Trigonometric Identities Unit 4: Circles English Casbarro.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.3 Properties of the Trigonometric Functions.
Trigonometric Functions Let (x, y) be a point other then the origin on the terminal side of an angle in standard position. The distance from.
Trigonometry Jeopardy Radians Degrees Misc Trig Misc.
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.
Using Trig Formulas In these sections, we will study the following topics: Using the sum and difference formulas to evaluate trigonometric.
Trig Functions of Special Angles Objectives To find exact values for the six trigonometric functions of special angles To find decimal approximations for.
4.4 Trigonometric Functions of any Angle Objective: Students will know how to evaluate trigonometric functions of any angle, and use reference angles to.
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