Summary
This collection is a four-part lesson series where students initially explore reciprocal, quotient, and Pythagorean identities. They then use this knowledge to discover the sum and difference identities for sine, cosine, and tangent, as well as the double-angle identities for sine and cosine. Students use these identities to simplify expressions, verify identities, and solve trigonometric equations.Resources
Students will prove the reciprocal, quotient, and Pythagorean trigonometric identities. They will then use those identities to practice simplifying and verifying trigonometric identities during this spy-themed lesson. This lesson is an introduction to identities and is the first lesson of four in a... Read more »
Created by: Michell Eike
Date Updated: April 9th, 2024
Trig Identities, Part 1
Reciprocal, Quotient, and Pythagorean Identities
- 11th - 12th
- Precalculus
- Mathematics
- ACT Prep
- PC.T.3.1, PC.T.3.2
Students will use the reciprocal, quotient, and Pythagorean trigonometric identities to solve equations. They will listen to a petroleum engineer describe his work and how trigonometric identities are used to solve problems when drilling. This lesson is the second lesson of four in a “Trig Identities”... Read more »
Created by: Michell Eike
Date Updated: May 22nd, 2024
Trig Identities, Part 2
Reciprocal, Quotient, and Pythagorean Identities
- ACT Prep, Individual Career Academic Plan (ICAP)
- 11th - 12th
- Precalculus
- Mathematics
- PC.T.3.1, PC.T.3.3
Students discover the sum and difference identities for sine, cosine, and tangent. They discover the double-angle identities for sine and cosine. They will then use those identities to practice simplifying and verifying trigonometric identities during this archeologist-themed lesson. The prerequisite... Read more »
Created by: Michell Eike
Date Updated: September 27th, 2023
Trig Identities, Part 3
Sum, Difference, and Double-Angle Identities
- 11th - 12th
- Precalculus
- Mathematics
- PC.T.3.1, PC.T.3.2
Students will apply what they have learned during this lesson series—Pythagorean, sum, difference, and double-angle identities—to navigate through a pirate-themed escape room. They will look at trigonometric identities graphically and algebraically. Students will use trigonometric identities to evaluate... Read more »
Created by: Michell Eike
Date Updated: April 9th, 2024
Trig Identities, Part 4
Sum, Difference, and Double-Angle Identities
- 11th - 12th
- Precalculus
- Mathematics
- PC.T.3.1, PC.T.3.3
Standards
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