Class 11 RS Aggarwal Chapter-19 Graphs of Trigonometric Functions Solutions - Free PDF Download
FAQs on RS Aggarwal Class 11 Solutions Chapter-19 Graphs of Trigonometric Functions
1. Where can I find reliable, step-by-step solutions for RS Aggarwal Class 11 Maths Chapter 19?
Vedantu provides comprehensive, expert-verified solutions for RS Aggarwal Class 11 Maths Chapter 19, Graphs of Trigonometric Functions. Each solution is crafted to be clear, accurate, and easy to follow, ensuring you understand the correct method for every problem in the textbook.
2. What specific topics are covered in the RS Aggarwal Solutions for Chapter 19, Graphs of Trigonometric Functions?
These solutions cover all the key topics from the chapter as per the latest RS Aggarwal textbook. This includes detailed step-by-step methods for:
- Plotting the graphs of all six trigonometric functions: sin(x), cos(x), tan(x), cot(x), sec(x), and cosec(x).
- Determining the domain, range, and period of each trigonometric function.
- Solving problems based on the graphical representation and properties of these functions.
3. Are these solutions aligned with the latest 2025-26 CBSE syllabus and RS Aggarwal edition?
Yes, the RS Aggarwal Class 11 Maths solutions on Vedantu are meticulously updated to align with the latest CBSE 2025-26 syllabus and the most recent edition of the RS Aggarwal textbook. This ensures you are preparing with the most relevant and accurate material for your exams.
4. How do these solutions help in understanding the concept of the 'period' of a trigonometric function?
The solutions don't just provide the final graph. They guide you through a step-by-step process that visually demonstrates why a function repeats its values after a specific interval. For example, when solving problems for sin(x), the solutions show how the graph pattern from 0 to 2π is the same as from 2π to 4π, helping you internalise the concept of the period being 2π.
5. What is the correct method to determine the domain and range for functions like tan(x) and sec(x) using these solutions?
The solutions explain that the key is to identify the points where the function is undefined. The step-by-step process is as follows:
- For tan(x) = sin(x)/cos(x), the solutions show that the function is undefined where cos(x) = 0. This occurs at odd multiples of π/2, which must be excluded from the domain.
- Similarly, for sec(x) = 1/cos(x), the domain is the same as tan(x).
- The graphical plotting in the solutions then makes it clear why the range of sec(x) is (-∞, -1] U [1, ∞), as the curve exists only above y=1 and below y=-1.
6. Can I use these solutions to prepare for competitive exams like JEE?
Absolutely. While RS Aggarwal is a foundational book, understanding graphical transformations from Chapter 19 is crucial for JEE. These solutions build a strong conceptual base by explaining the 'why' behind each graph's shape, domain, and range. This strong foundation is essential for tackling more complex, application-based questions in competitive exams.
7. What common mistakes in graphing trigonometric functions do these RS Aggarwal solutions help prevent?
A common error is incorrectly marking the asymptotes for functions like tan(x) and cot(x). Another mistake is plotting the amplitude incorrectly for transformed sine or cosine graphs. The detailed, step-by-step methods provided in our solutions ensure you correctly identify asymptotes, periods, and amplitudes, leading to accurate graphs and preventing loss of marks.
8. Beyond just plotting, how can I use the graphical methods from Chapter 19 solutions to solve trigonometric equations?
The graphical method is a powerful tool for visualising solutions. For an equation like sin(x) = 1/2, the solutions guide you to:
- Draw the graph of y = sin(x).
- Draw the horizontal line y = 1/2 on the same axes.
- Identify the x-coordinates of the intersection points of these two graphs. These points are the solutions to the equation. This technique is excellent for finding the number of solutions within a specific interval.
