Introduction to Trigonometry and Ratios from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Trigonometry is a branch of mathematics that deals with the study of angles, triangles, and the relationships between their sides and angles. It is an essential concept for understanding various mathematical and scientific principles. Trigonometry is based on the ratios of the sides of a right-angled triangle. These ratios are known as trigonometric ratios. There are six trigonometric ratios - sine, cosine, tangent, cosecant, secant, and cotangent. These ratios are defined based on the sides of a right-angled triangle. The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Trigonometric ratios are used to solve problems involving angles and sides of triangles. They can help in finding unknown angles or sides of a triangle when other sides and angles are known. Trigonometry is also used in various real-world applications such as engineering, physics, astronomy, and navigation. Understanding trigonometry and ratios is crucial for students to excel in mathematics and other related fields. It provides a strong foundation for more advanced mathematical concepts and helps in problem-solving skills. By mastering trigonometry, students can develop a better understanding of geometric relationships and apply them to real-world situations.
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