Reflection: Complex Tasks Trigonometric Identities - Day 1 of 2 - Section 2: Explore


Deriving the even function identity (cos(-x) = cosx) was pretty straightforward to students because of the symmetry of the graph to the y-axis. Discussing the odd function identity was more challenging for students.

Here is a diagram of what we came up with together during our discussion. Students understood that the sine of -x would equal the sine of -y, but they had a difficult time expressing this relationship as an identity. In the image are the two possibilities that students came up with and they were able to critique the reasoning of others to reach a consensus that sin(-x) = -sin(x).

  Complex Tasks: Odd Function Identity
Loading resource...

Trigonometric Identities - Day 1 of 2

Unit 5: Trigonometric Relationships
Lesson 1 of 15

Objective: SWBAT simplify expressions and prove trigonometric identities.

Big Idea: Identifying what makes a trig expression complex will keep you focused on what needs to be simplified.

  Print Lesson
2 teachers like this lesson
copy of example 1
Similar Lessons
What do Triangles have to do with Circles?
Algebra II » Trigonometric Functions
Big Idea: How is the unit circle related to "triangle measurement"? A story of two equivalent definitions.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Discovering Trig Identities (Day 4 of 4)
12th Grade Math » Trigonometric Equations
Big Idea: Students use TI-Nspire calculators to develop their own understandings of what trigonometric identities are and why they work.
Phoenix, AZ
Environment: Urban
Tiffany Dawdy
Formalizing Properties Known Informally
12th Grade Math » Trigonometric Identities
Big Idea: How can I find the value of other trigonometric functions if I only know one or two values?
Independence, MO
Environment: Suburban
Katharine Sparks
Something went wrong. See details for more info
Nothing to upload