Trigonometric functions

with a function, and even the vector measurements that make space travel possible. To apply calculus to these real world problems I need experience with calculus, which is why I am currently enrolled in a Calculus II class.…

exploration. 1.1 Positions of planets and tides To analyze the creation of tidal force, we must find how gravitational forces from Sun and Moon acting on Earth. For this part, I will apply difference equation to analyze the Sun-EarthMoon system, trigonometric functions play a big role here. I will demonstrate why positions of planets matter, and I will change their positions to see how angles between stars influence tidal force on Earth. In this section, I will also discuss Moon’s effect on…

study. Throughout history, many important individuals have contributed to the field of mathematics and have helped develop the theories, postulates and mathematical rules which are widely accepted today. From the quadratic formula to the trigonometric functions, these people have revolutionized the way we view mathematics in unimaginable ways. Some of these important figures include Pierre…

By this time, I was lounging in a chair behind a desk covered in trigonometric tables, although I continued to store a snack underneath. Calculus was one of my favorite math classes with algebra a close second. I didn’t appreciate geometry and trigonometry in the same way because I found mathematical proofs to be boring,…

the early 17th century names like Francois Viete and Bartholomeo Pitiscus were still ringing through the mathematical community’s ears. Viete had blown everyone away with his book Canon Mathematicus in 1579. The book contained a collection of trigonometric formulas and tables. Viete was also responsible for trisecting an angle and the construction of the regular pentagon. Bartholomeo Pitiscus had coined the term trigonometry in the title of his 1595 book, Trigonometria. This book was split into…

considered to be interconnected at joints, known as nodes. The combined elemental representations adequately approximate the variable. The distribution across each element may be defined by a polynomial (for example, linear or quadratic) or a trigonometric function. After the problem has been discretized, the governing equations for each element are calculated and then assembled to give the system equations. Once the general format of the equations of an element type is derived, the calculation…

The Renaissance was a cultural and societal movement that led to the advancement of many subjects surrounding the humanities and the arts. During this time a new interest of science was also growing. Known as the Enlightenment, it was a time of scientific advancement that began to shift the human understanding of the world from the influence of faith to the lens of science. The Enlightenment was not the only era of humanity that has attempted to explain the existence of God and the origin of…

“Choose a job you love, and you’ll never have to work a day in your life.” -Confucius. This is a great quote, but not to most of the students my age. They are intimidated by the big decision about what they are going to do for the rest of their lives, they’re not focused on getting a job in what they love to do. Most students my age don’t know what career path they want to follow, but lucky for me, I am a sophomore and I still have two years left to decide what profession I will go into.…

Abstract: - Leonhard Euler is considered to be one of the greatest mathematicians of all time. He made incredible discoveries to many subject areas, but most were to the field of mathematics. In this paper we explore Euler’s mathematical contributions including formulas/identities, concepts and notations. We see how Euler’s formula came to be and the story behind it along with Euler’s identity. We then explore Euler’s approaches to the Basel and Seven Bridges of Königsberg problems and his…

I have known Anay Purohit for close to eight years now. I first got to know Anay, when I his class teacher in the Sixth and Seventh grades. He came across as mature for his years. I was impacted in our initial classes by his equipoise. When I learned about his condition – that he suffered from pediatric Diabetes and might require ‘time-off’ in case he felt low, I understood. I understood that from his life experiences Anay had developed the ability to stay calm and handle difficult situations. I…