RD Sharma Solutions for Class 11 Maths Chapter 6 - Free PDF Download
FAQs on RD Sharma Class 11 Maths Solutions Chapter 6 - Graphs of Trigonometric Functions
1. Where can I find reliable, step-by-step solutions for RD Sharma Class 11 Maths Chapter 6 on Graphs of Trigonometric Functions?
Vedantu offers comprehensive, exercise-wise solutions for RD Sharma Class 11 Maths Chapter 6. These solutions are prepared by subject matter experts to provide a clear, methodical approach to solving every problem related to trigonometric graphs, ensuring students can understand the logic behind each step as per the 2025-26 curriculum.
2. What key concepts are covered in the RD Sharma solutions for Chapter 6?
The solutions for Chapter 6 primarily focus on the graphical representation of all six trigonometric functions. Key concepts explained include:
Plotting the graphs of sin x, cos x, tan x, cot x, sec x, and cosec x.
Identifying the domain and range for each trigonometric function from its graph.
Understanding the periodicity and amplitude of the functions.
Visualising concepts like asymptotes for tan x, cot x, sec x, and cosec x.
3. Why is it important to learn how to graph trigonometric functions instead of just memorising their formulas?
Understanding the graphs provides a deeper insight into the behaviour of trigonometric functions. It helps in visually comprehending concepts like periodicity, amplitude, and phase shifts, which are fundamental not only for advanced mathematics but also for applications in fields like physics (for wave motion) and engineering. Graphs transform abstract formulas into tangible patterns, making it easier to solve complex problems.
4. How do the Vedantu solutions explain the method for plotting the graph of y = sin x?
The solutions provide a systematic method for plotting the graph of y = sin x. The process typically involves:
Creating a table with values of x at key angles (like 0, π/2, π, 3π/2, 2π) and the corresponding values of sin x.
Plotting these (x, y) coordinates on a Cartesian plane.
Connecting the points with a smooth, continuous curve to form the characteristic sine wave.
Highlighting the period (2π) and range [-1, 1] of the function.
5. What is the most common mistake students make when graphing y = tan x, and how do the solutions help prevent it?
A frequent mistake is drawing the graph of y = tan x as a single continuous curve. Students often forget that the function is undefined at odd multiples of π/2. The RD Sharma solutions on Vedantu clearly address this by demonstrating how to draw the vertical asymptotes at these points (x = ±π/2, ±3π/2, etc.). The solutions show that the graph is a series of separate, identical curves, reinforcing the concept of a non-continuous function with a period of π.
6. How are the concepts from Chapter 6, Graphs of Trigonometric Functions, useful for Class 12 and competitive exams?
A strong understanding of trigonometric graphs is crucial for Class 12 topics like Inverse Trigonometric Functions and Calculus (especially in topics like maxima, minima, and area under curves). In competitive exams like JEE, questions often test the graphical understanding of functions to determine their properties, solve equations, and analyse their behaviour without extensive calculations. The ability to quickly sketch a graph can save significant time.
7. Do the RD Sharma solutions for this chapter cover problems related to transformations of graphs?
Yes, the solutions for RD Sharma typically extend beyond basic graphs. They methodically solve problems involving transformations such as changes in amplitude (y = A sin x), period (y = sin(Bx)), and phase shift (y = sin(x + C)). The step-by-step solutions explain how each parameter alters the shape and position of the standard trigonometric graph, which is essential for a comprehensive understanding.
