1. Welcome! Take-Out: HW #1 and Stamp Sheet HW #2: Pg. 428 #45-53 odd AND Pg. 434 #5-9 Finish notes Updates: U7Q1 (7.1-7.3) Monday 2/9

2. Agenda 1.Review HW #1 2.Finish 7.1 3.Begin 7.2: Verifying Trig Identities 4.Be the Teacher 5.Finish U7L2 6.Reflection

3. Review HW #1 If you do not have it, write sentences to me.

4. 7.1 Basic Trigonometric Identities Write these notes on the bottom of your investigation. Opposite-Angle Identities https://schoolyourself.org/learn/trigon ometry/trig-identities-negative

5. Learning Objectives By the end of this period you will be able to:  Identify and use reciprocal identities, quotient identities, opposite angle and Pythagorean identities.  Use basic trigonometric identities to verify other identities.

6. Whiteboards Simplify the expression. Table-Talk  What do you predict the solution will be?  When I ask you to simplify the expression what do you predict the answer should look like?  Look at Practice (1a)-(1c), what could be some tips when attempting to simplify these expressions?

7. 7.1 Basic Trigonometric Identities My tips when simplifying expressions: ①Keep a list of identities in front of you. ②Use identities to change equation in terms of sine, cosine, or tangent (or a combination of these). ③If you get stuck, do not erase, try another route. (You might want to reference the previous attempt.)

8. 7.1 Basic Trigonometric Identities Attempt (1a), (1b), and (1c). We will discuss the solutions in 5 minutes. Take out U7L1 to help you recall all the identities!

9. Be the Teacher  I have FOUR different questions I will be passing out. Put your name AND table number on it!  You will simplify your expression independently. (HINT: for the student(s) with #2 put in terms of csc and cos.)  You will go find one other person in the room who has the same question as you. Look over their solution. Is it correct? If not, correct it. If yes, tell them good job!

10. Be the Teacher  Go find someone in the room with a different question. Write their question on the back of your slip of paper and try to solve it. If you are stuck, ask your partner for help!  Go find someone in the room with a different question from the two that you already have done. Walk them through how to simplify your expression. Then let your partner explain how to simplify theirs. Any last questions on simplifying expressions?

11. 7.2 Verifying Trigonometric Identities Verifying trigonometric identities algebraically involves transforming one side of the equation into the same form as the other side by using the basic trigonometric identities and the properties of algebra. I am going to walk you through the problem below and all I want you to do is to watch, ask questions, and listen. Verify that sec 2 x – tanx cotx = tan 2 x is an identity.

12. 7.2 Verifying Trigonometric Identities As you were watching, asking questions, and listening, what were important key components you do not want to forget when you complete your 1 st practice problem? What to Remember When Verifying Identities: ① Transform only ONE SIDE of the equation to match the other side. ②Choose the more complicated side to transform.

13. 7.2 Verifying Trigonometric Identities Attempt practice (2a), (2b), and (2c). You will have 5 minutes.

14. Table Practice You will have the next 15 minutes to attempt the back of your guided notes. This is more practice! Remember to use your 21 st Century Skills and to collaborate. When comparing or correcting your work, please do not think my way (or your tablemates way) is the ONLY right method!

15. Reflection Take out a half sheet of binder paper and please write your name, table #, and period in the upper right hand corner. ①List three facts you learned today that you do not want to forget. ①List questions (if you have any) that you want me to answer by the next class period. (Pertaining to this lesson.) I will collect these.