The major benefit of this is that, even though these are simple proofs, they have a lot of variance on how they may be presented to students and how “hands on” the activity can be. Providing the skeletal structure of the proofs for the double angle formulas of sine, cosine, and tangent might be enough to help students reach the formulas themselves. I’m a firm believer that the more often a student can learn something of their own accord, the better off they are.
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How could you as a teacher create an activity or project that involves your topic? This leads to the next topic, an activity for students to attempt the equation on their own.
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Listed below are the formulas that can lead directly to the double angle formulas.Ī list of the formulas that students can benefit from recalling: How does this topic extend what your students should have already learned?Ī major factor that simplifies deriving the double angle formulas is recalling the trigonometric identities that help students “skip steps.” This is true especially for the Sum formulas, so a brief review of these formulas in any fashion would help students possibly derive the equations on their own in some cases. His topic, from Precalculus: deriving the double angle formulas for sine, cosine, and tangent. This student submission comes from my former student Daniel Adkins. I plan to share some of the best of these ideas on this blog (after asking my students’ permission, of course).
![trigonometric identities formulas pythagorean trigonometric identities formulas pythagorean](https://s3.amazonaws.com/dev-hmhco-vmg-craftcms-public/_cliffsnotes/assets/11024.jpg)
Instead, I asked my students to think about three different ways of getting their students interested in the topic in the first place. In other words, the point of the assignment was not to devise a full-blown lesson plan on this topic. In my capstone class for future secondary math teachers, I ask my students to come up with ideas for engaging their students with different topics in the secondary mathematics curriculum.