Gain skills for solving trigonometry in a more fun way
Posted: Sun Jan 26, 2025 10:34 am
The Mathematics in Python course was created by Petar Jolakoski, a professor at Brainster Next College and a junior researcher at the Center for Computer Science and Information Technologies at MANU.
"Students who complete the entire course will acquire the necessary mathematical skills for further studies in STEM (Science, Technology, Engineering & Mathematics) fields at the faculty," Petar Jolakoski shared with us.
The sixth part of the course deals with Trigonometry, a branch of mathematics that has applications in many areas such as geodesy, navigation, and planetary motion. In particular, the basics of this area are needed to better rcs data hong kong some of the basic ideas of Linear Algebra. Trigonometry studies the properties of right triangles, that is, the relationships between the angles and the ratios of the lengths of the sides. The focus in this part will be on the basic trigonometric functions, units of measurement for angles, and the relationship between the exponential and basic trigonometric functions.
In these videos, you will learn about the basic trigonometric functions that describe the relationships between the sides of a right triangle. The sine function describes the relationship between the length of the leg opposite the angle and the length of the hypotenuse. On the other hand, the cosine function describes the relationship between the length of the leg adjacent to the angle and the length of the hypotenuse. We will study these functions through their graphical representation, specifically how they change as the angle increases and decreases. Then, you will learn about the two main ways to measure angles – degrees and radians. You will learn how to convert between them and how to work with them in the context of trigonometry problems.
An important concept in trigonometry is the periodicity of the sine and cosine functions. We will explore this periodicity by analyzing a circle with radius 1, known as the unit circle. This circle will allow you to study the relationship between angles and the values of the sine and cosine functions. Next, the inverse of trigonometric functions will be explained. You will learn that the inverse trigonometric functions are used to find angles using the values of the sine, cosine, or other basic trigonometric functions.
You will be introduced to the Pythagorean equation, which describes the relationship between the sides of a right triangle. This equation indicates the relationship between the areas formed by the sides of the hypotenuse and the legs. Through this equation, we will define the well-known trigonometric identities for the sine and cosine functions. Then, you will recall complex numbers and learn some basic operations with them and how to work with them in the context of trigonometry. Next, you will explore the Pythagorean equation in the context of a right triangle formed in the complex plane, where the hypotenuse is the distance from the coordinate origin to the endpoint defined by the position of the complex in the plane. This will help you define the relationship between the exponential and trigonometric functions through Euler's fundamental formula. Then, you will be introduced to a special case of this formula known as Euler's identity, and finally, you will learn how to draw the unit circle in the complex plane.
"Students who complete the entire course will acquire the necessary mathematical skills for further studies in STEM (Science, Technology, Engineering & Mathematics) fields at the faculty," Petar Jolakoski shared with us.
The sixth part of the course deals with Trigonometry, a branch of mathematics that has applications in many areas such as geodesy, navigation, and planetary motion. In particular, the basics of this area are needed to better rcs data hong kong some of the basic ideas of Linear Algebra. Trigonometry studies the properties of right triangles, that is, the relationships between the angles and the ratios of the lengths of the sides. The focus in this part will be on the basic trigonometric functions, units of measurement for angles, and the relationship between the exponential and basic trigonometric functions.
In these videos, you will learn about the basic trigonometric functions that describe the relationships between the sides of a right triangle. The sine function describes the relationship between the length of the leg opposite the angle and the length of the hypotenuse. On the other hand, the cosine function describes the relationship between the length of the leg adjacent to the angle and the length of the hypotenuse. We will study these functions through their graphical representation, specifically how they change as the angle increases and decreases. Then, you will learn about the two main ways to measure angles – degrees and radians. You will learn how to convert between them and how to work with them in the context of trigonometry problems.
An important concept in trigonometry is the periodicity of the sine and cosine functions. We will explore this periodicity by analyzing a circle with radius 1, known as the unit circle. This circle will allow you to study the relationship between angles and the values of the sine and cosine functions. Next, the inverse of trigonometric functions will be explained. You will learn that the inverse trigonometric functions are used to find angles using the values of the sine, cosine, or other basic trigonometric functions.
You will be introduced to the Pythagorean equation, which describes the relationship between the sides of a right triangle. This equation indicates the relationship between the areas formed by the sides of the hypotenuse and the legs. Through this equation, we will define the well-known trigonometric identities for the sine and cosine functions. Then, you will recall complex numbers and learn some basic operations with them and how to work with them in the context of trigonometry. Next, you will explore the Pythagorean equation in the context of a right triangle formed in the complex plane, where the hypotenuse is the distance from the coordinate origin to the endpoint defined by the position of the complex in the plane. This will help you define the relationship between the exponential and trigonometric functions through Euler's fundamental formula. Then, you will be introduced to a special case of this formula known as Euler's identity, and finally, you will learn how to draw the unit circle in the complex plane.