Trignometry - Mathematics, Class 10 Video Lecture

Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It helps in solving various problems related to distance, height, and angles in real-life situations, such as navigation, architecture, and physics.

Ans. The basic trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). These ratios are defined as follows: - Sine (sin) is the ratio of the length of the side opposite to an angle to the length of the hypotenuse. - Cosine (cos) is the ratio of the length of the side adjacent to an angle to the length of the hypotenuse. - Tangent (tan) is the ratio of the length of the side opposite to an angle to the length of the side adjacent to the angle.

Ans. The values of trigonometric ratios can be found using a scientific calculator or trigonometric tables. Simply enter the angle in degrees or radians and use the corresponding trigonometric function (sin, cos, tan) to get the value. For example, to find the sine of an angle, press the sin button on the calculator and enter the angle.

Ans. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem is closely related to trigonometry because it allows us to determine the lengths of the sides of a right triangle using trigonometric ratios. By using sine, cosine, and tangent, we can find the missing side lengths or angles of a right triangle.

Ans. Trigonometry has numerous applications in real life. Some common examples include: - Navigation and astronomy: Trigonometry is used in GPS systems, satellite communications, and celestial navigation. - Architecture and construction: Trigonometry helps in designing and constructing buildings, bridges, and other structures. - Engineering and physics: Trigonometry is used in fields such as electrical engineering, mechanical engineering, and physics to solve problems related to waves, vibrations, and oscillations. - Sports and video games: Trigonometry is used in sports like golf, baseball, and basketball to analyze and optimize player performance. It is also used in video game development to create realistic graphics and animations.