04.28.2019: One Lesson of Math – Trigonometric Equations and Identities, 6/6: Double Angle Identities

~ Steven C. Mills

Today's soundtrack is Behemoth: Demigod, a death metal album with dark lyrics based on themes found in ancient folklore and religions. This afternoon, I'm working on the last lesson in this unit; this unit is the last unit in this module; so I'll be writing my third of the four module tests this week. This … Continue reading 04.28.2019: One Lesson of Math – Trigonometric Equations and Identities, 6/6: Double Angle Identities

04.27.2019: One Lesson of Math – Trigonometric Equations and Identities, 5/6: Sum and Difference Identities

~ Steven C. Mills

Today's soundtrack is Gojira: L'Enfant Sauvage, a metal album that is heavier than four hundred million suns. So I mentioned yesterday that I was having trouble figuring out what to do with trig identities with coefficients. I got some help from a friendly Redditor and was able to finally overcome the challenge. It turns out … Continue reading 04.27.2019: One Lesson of Math – Trigonometric Equations and Identities, 5/6: Sum and Difference Identities

04.25.2019: Trigonometric Equations and Identities, 4/6: Trigonometric Identities, Part 2

~ Steven C. Mills

Today's soundtrack is Taylor Swift: 1989, the album that marked her switch from country pop to...pop-pop. It's such a great album - very catchy! Today, I'm continuing to learn about trigonometric identities. I was introduced to an important rule today that will really streamline the process of proving identities: We should only multiply terms if … Continue reading 04.25.2019: Trigonometric Equations and Identities, 4/6: Trigonometric Identities, Part 2

04.24.2019: One Lesson of Math – Trigonometric Equations and Identities, 3/6: Trigonometric Identities, Part 1

~ Steven C. Mills

Today's soundtrack is Dream Theater: Falling Into Infinity, probably their most radio-friendly album. You may have noticed that this series is titled "Trigonometric Equations and Identities." So far, we've been working with equations; today, we'll be learning about trigonometric identities. Let's start by differentiating the two. An equation is only true for certain values of … Continue reading 04.24.2019: One Lesson of Math – Trigonometric Equations and Identities, 3/6: Trigonometric Identities, Part 1

04.23.2019: One Lesson of Math – Trigonometric Equations and Identities, 2/6: Solving Trigonometric Equations for Exact Values Without a Calculator

~ Steven C. Mills

Today's soundtrack is Petra: Petra Means Rock, a compilation album that includes many of the hits from their earlier albums. This afternoon, I'm learning how to solve trig equations without using a calculator. Trigonometric equations include a trig function and a variable - for example, y = sin x. How to solve first-degree trigonometric equations … Continue reading 04.23.2019: One Lesson of Math – Trigonometric Equations and Identities, 2/6: Solving Trigonometric Equations for Exact Values Without a Calculator

04.22.2019: One Lesson of Math – Trigonometric Equations and Identities, 1/6: Solving Trigonometric Equations Using a Graphing Calculator

~ Steven C. Mills

Today's soundtrack is Christafari: Valley of Decision, a reggae album that I've loved since I first got the album from a high school friend. Today, I'm learning how to use technology to solve trigonometric equations. I started the lesson by watching this video, which covered the two basic ways of solving trig equations that equal … Continue reading 04.22.2019: One Lesson of Math – Trigonometric Equations and Identities, 1/6: Solving Trigonometric Equations Using a Graphing Calculator

04.21.2019: One Lesson of Math – Circular Functions, 10/10: Graphing the Trigonometric Reciprocal Functions

~ Steven C. Mills

Today's soundtrack is Runaway City: Armored Heart, a solid alt-rock album. I don't know why we never heard more from this band; my only guess is that they were a bit too late hopping onto the post-grunge train. This afternoon, I'm learning how to graph the reciprocal functions. The reciprocal trigonometric ratios are: Cosecant Reciprocal … Continue reading 04.21.2019: One Lesson of Math – Circular Functions, 10/10: Graphing the Trigonometric Reciprocal Functions

04.20.2019: One Lesson of Math – Circular Functions, 9/10: Graphing the Tangent Function

~ Steven C. Mills

Today's soundtrack is Relient K: ᚎ Score and Seven Years Ago, a pop-punk album that is probably the most introspective material that I've heard Relient K release yet. We've learned how to graph the sine and cosine functions. Now, we're learning how to graph the tangent function. The tan graph is made up of multiple … Continue reading 04.20.2019: One Lesson of Math – Circular Functions, 9/10: Graphing the Tangent Function

04.19.2019: One Lesson of Math – Circular Functions, 8/10: Modelling Real Situations Using Sinusoidal Functions

~ Steven C. Mills

Today's soundtrack is Dream Theater: Dream Theater, their self-titled album that was the first to feature Mike Mangini writing the drum parts. It's a great album; though it is a progressive metal album, it isn't very experimental; in my opinion, that fit the needs of the album well, and it is a very solid effort. … Continue reading 04.19.2019: One Lesson of Math – Circular Functions, 8/10: Modelling Real Situations Using Sinusoidal Functions