RD Sharma Class 11 Chapter 5 Solutions (Trigonometric Functions)
RD Sharma Class 11 Maths Solutions Chapter 5, Trigonometric Functions are prepared in a manner that learning and understanding the concepts get easier for you. These RD Sharma solutions help you to learn easy ways to solve each complex problem of Trigonometric Functions. This aids by boosting the confidence level as trigonometry is one of the most important and complicated topics of math. Trigonometric functions extend the concept of Trigonometric ratios to any angle for radius measurement, this is the main part which is to be understood and solved.
In simple words, trigonometry is the study of triangles, which includes lengths and angles of the triangle on its sides. The three main functions included in Trigonometric functions are the sine, cosine and tangent functions. These topics are sweepingly covered in 3 exercises 5.1, 5.2 and 5.3. A total of 70 questions (including parts of all the questions) have been included in these 3 exercises along with the detailed solutions.
InstaSolv has tried to acknowledge all the complications you face during this chapter, so you have been provided with the best and simplest solutions to all the problems. These solutions will help you with your further understanding of math along with getting Trigonometric functions correctly. It’s worth giving a shot to these exercises.
Topics covered in RD Sharma Solutions for Class 11 Chapter 5 Trigonometric Functions
The trigonometry is the relationship between the angles of triangles, its sides and the lengths. This chapter revolves around six Trigonometric ratios, also termed as Trigonometric functions or circular functions. These Trigonometric ratios are studied, regarding an angle (usually right angle). So, let’s call the angle ‘X’, so the ratios will be known as the sine of X (written as Sin X), the cosine of X (written as Cos X) and tangent of X (written as Tan X). Similarly, another three ratios are reciprocals of sine, cosine and tangent are called the cosecant, secant and cotangent. About angle X, they will be called cosecant of X (written as cosec X), secant of X (written as sec X) and cotangent of X (written as cot X). the value of these ratios can be 0º, 30º, 45º, 60º, 90º.
Remember that as long as the angle remains the same the Trigonometric ratios also remain the same and these ratios are real numbers. Periodicity (repeating once values at regular intervals) is a very important property that is common in all the six Trigonometric functions.
While studying Trigonometric functions, there are many more topics that one needs to learn and understand. Some of those topics are Trigonometric identities, Angle, angle measurement, Variation in The Values in Different Quadrants of Trigonometric Functions, Values of Trigonometric functions of allied angles, Even and odd functions, periodic functions, and Trigonometric Ratios of an Angle, etc. without the knowledge of above-mentioned topics, it is really hard to solve exercises of Trigonometric functions.
The questions given in three of the exercises have values of either angles or ratios and you have to either prove the values of Trigonometric identities, Trigonometric functions or Trigonometric ratios. Also, the equations that involve functions of Trigonometric functions of unknown angles are called Trigonometric equations, it has many solutions.
Principal Solutions: The Trigonometric equations that incorporate 0 ≤ x < 2π, as solutions are called the principal solutions.
General Solutions: The Trigonometric equations that can consist or are open to all possible solutions are called the general solutions.
Studying triangles are the most important aspect of Trigonometric functions, but they are also used to study modelling periodic phenomena.
Discussion on the Exercises of RD Sharma Solutions for Class 11 Chapter 5 Trigonometric Functions
- The first exercise 5.1 of the chapter has questions related to Trigonometric identities. You are supposed to prove the values of Trigonometric identities, your solution should be L.H.S= R.H.S.
- The second exercise 5.2 of the chapter has questions related to Trigonometric functions, which means you have to find the values of Sin, Cos, Tan, Cosec, Sec and Cot.
- The third exercise 5.3 of the chapter has questions related to Trigonometric ratios.
The above-mentioned exercises have 70 questions, including all the sub-parts. Solving and understanding these questions will lay a strong foundation of understanding the basic Mathematics concepts and will not only help you get good marks in the school exams but will also help with other competitive exams you are appearing for. Trigonometry helps in fields like map-making, surveying, and astronomy.
Benefits of RD Sharma Solutions for Class 11 chapter 5 sets by InstaSolv
- InstaSolv provides questions, solutions, and explanations of the topics mentioned in the chapters, which makes it easier to understand theories, methods, concepts and formulas.
- It is provided in the easiest language so that it can easily be understood by everyone.
These streamlined RD Sharma Class 11 Maths Solutions and guides are available for free, and anyone can access and take benefits.