Introduction to NCERT Solutions for Class 10 Maths Chapter 8
For every student, math is the most difficult subject and CBSE recommends NCERT books which are not sufficient. But these books are necessary for studies. Also, the students need to solve all the question and answer given in the exercise to completely learn the topic.Trigonometry literally means measurement of sides and angles of a triangle.Positive and Negative angles: Angles in anti-clockwise direction are taken as positive angles and angles in clockwise direction are taken as negative angles.
NCERT Solutions for Class 10 Maths Chapter 8 –Trigonometry
It is an important chapter and contains four exercises and cover topics like trigonometric ratios and trigonometric identities. The chapter has more than 40 questions for you to solve.
Basically, it’s the introduction chapter of trigonometry to CBSE board students in which the students are taught about ratios and how to define angles from measure 0o to 90o. Teaching trigonometric identities to students is the aim of this chapter. All the concept of the chapter is explained using a very simple and easy to understand language. Apart from that the chapter contains interesting and new problems which are fun to learn. Trigonometry is an important and crucial part of senior secondary maths stream.
The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. They stand for Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent respectively. In the following section, we will learn the formulas for these trigonometric ratios. We will also learn some funny mnemonics to memorize it.
Trigonometric Ratios in Right Angle Triangle
Trigonometric Ratios are applicable only for a right-angle triangle. A right-angle triangle is a special triangle in which one angle is 90o and the other two are less than 90o. Furthermore, each side of the right angle triangle has a name.
- Hypotenuse:It is the largest side of the triangle. Also, it is opposite the right angle of the triangle.
- Base:The side on which the right angle triangle stands is known as its base. Moreover, any of the two sides other than the hypotenuse can be chosen as the base for performing the calculation.
- Perpendicular:It is the side perpendicular to the base of the right-angled triangle.
Trigonometric identities are very useful for right angles triangles, where you can calculate the value of its sides and angles in just minutes. Moreover, these identities are also useful in practical life situations, for example, calculation of the height of a building etc
Trigonometric Identities in Algebraic form
An identity in an algebraic form x is satisfied by some particular value of x. For example (x+1)2=x2+2x+1 is an identity in x. It is satisfied for all values of x. The same applies to trigonometric identities also.These equations can be seen as facts written in a mathematical form, that is true for right angle triangle. Any trigonometric identity dealing with any variable of a right angle triangle will be satisfied by any value within an acceptable range of that variable.