NCERT Solutions for Class 10 Maths Chapter 8- Introduction to Trigonometry

The NCERT Maths Chapter 8 trigonometry is one the most important fundamental topics. Trigonometry, which comes from a Greek word in which 'trigono' means 'triangle' and 'metry' means 'to measure', is an essential branch of mathematical studies. It deals with the relationship between side lengths and angles of triangles.

Trigonometry's uses are vast, as its applications are enormous worldwide. In this topic, triangles play a vital role, such as triangles with one angle equal to 90 degrees, right-angled triangles to be more precise. It helps us find missing angles of triangles as well as the missing sides and their lengths.

The chapter explores the below-mentioned trigonometric formulae

Let us consider the three points of a right-angled triangle as OAB, where OA & OB makes 90° to each other,

Where,
OA is the adjacent side
OB is the opposite side
AB is the hypotenuse side

The hypotenuse side of a triangle is always the lengthiest one, whereas the other two sides are comparatively shorter.

So, from the given information, this formula is derived,

sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent

The NCERT Maths Chapter 8 trigonometry has the following exercises; Firstly, it deals with exercise problems that can be pictured using the right angle triangle. Secondly, it consists of an introduction on trigonometric ratios and their examples, and practice problems can accompany this consisting of the derivation of sine, cosine, tangent, and other trigonometric functions.

In addition to this, the third part consists of measurements related to trigonometric ratios, while the fourth one deals with few solved problems and trigonometric ratio criteria for complementary angles with an exercise. Finally, the last section is all about subjects related to identities of trigonometry and its example problems. So, this is the overall overview of this chapter.

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