## The Primitives of Precalculus

by Robert Curtis

# Identities - Double Angle Identities

- P9: Trigonometric Functions:
- P9.4: Identities:
- P9.4.d: Double Angle Identities:
- P9.4.d.1: LiveMath Notebook
- P9.4.d.2: LiveMath Help Movie

Curriculum Home with Demo Access

## Distance Calculus - Student Reviews

*Date Posted: Jan 12, 2020*

Review by: Anonymous

Courses Completed: Calculus I

Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class

Transferred Credits to: The Wharton School, UPenn

*Date Posted: Jan 12, 2020*

Review by: Anonymous

Courses Completed: Calculus I

Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class

Transferred Credits to: The Wharton School, UPenn

*Date Posted: Jan 12, 2020*

Review by: Brian Finley

Courses Completed: Calculus II

Review: I took Calculus II through Distance Calculus and can't recommend it enough. Being able to take the course at my own pace while I was working full time was tremendously helpful, especially since I hadn't taken a math course for 5 years prior. The instruction was excellent and the software they used to teach the course was intuitive and facilitated the learning process very well. This calc II class enabled me to take multivariable calc, linear algebra, and real analysis at Harvard University's extension school, which ultimately qualified me for the economics PhD program that I will graduate from next year. 8 years on, I'm still grateful to Professor Curtis and Distance Calculus.