Introduction to Trigonometry Class 10 | how to learn class 10 maths trigonometry formulas

In this video, the introduction, formulation, and implementation of trigonometry are explained in detail.

Introduction: Trigonometry is a branch of mathematics that deals with the study of the relationships between the angles and sides of triangles, particularly right-angled triangles. The word "trigonometry" comes from the Greek words "trigonon" (meaning triangle) and "metron" (meaning measure). It is a fundamental topic in mathematics that has a wide range of applications in various fields such as physics, engineering, astronomy, and even in everyday life.

Formulation: The formulation of trigonometry is based on the concept of ratios of the sides of a right-angled triangle. The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan), which are defined as follows for a right-angled triangle:

• Sine (sin) of an angle = Opposite side / Hypotenuse

• Cosine (cos) of an angle = Adjacent side / Hypotenuse

• Tangent (tan) of an angle = Opposite side / Adjacent side

These ratios help in finding the relationship between the angles and the lengths of the sides of the triangle. Additionally, other trigonometric ratios like cosecant (cosec), secant (sec), and cotangent (cot) are reciprocals of sine, cosine, and tangent, respectively.

Implementation: Trigonometry is implemented in various real-world situations. Some common applications include:

• Navigation and Geography: Trigonometry helps in determining distances and angles between points on Earth’s surface, essential for navigation and map-making.

• Physics and Engineering: It is used to analyze waves, oscillations, and in the design of structures such as bridges and buildings.

• Astronomy: Trigonometry is vital in calculating distances to stars and other celestial bodies.

• Computer Graphics: Trigonometric functions are used in the creation and manipulation of images in video games and simulations.

Understanding trigonometry is crucial for students, as it forms the basis for more advanced mathematical concepts and has practical applications in various fields.

Introduction to Trigonometry Class 10
how to learn class 10 maths trigonometry formulas
Learn trigonometric identities

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