## Reflection: Student Ownership Even Odd Identities - Section 2: Developing Even Odd identities

As we discussed the identities in today's lesson a student asked, "What is the difference between -sin x and sin (-x)?" This is an important question. I am sure that many of my students were wondering the same thing. When it arose today, I explained that -x refers to the opposite of x as the input value being evaluated by the function. The expression -sin x refers to the opposite of the value returned as output by the function. To help clarify, I compared sin(-x) and -sin(x) to f(-x) and -f(x). I wrote all of these expressions on the board and I asked, "What does f(-x) mean? What does -f(x) mean?" Then, I gave my students time to think about it and come up with their own explanation.

What is the difference between -sin(x) and sin (-x)?
Student Ownership: What is the difference between -sin(x) and sin (-x)?

# Even Odd Identities

Unit 9: Trigonometric Identities
Lesson 6 of 14

## Big Idea: How can using the concept of even and odd functions help verify identities?

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Standards:
Subject(s):
Math, Trigonometric Identites, even
40 minutes

### Katharine Sparks

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