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RD Sharma solutions for Mathematics [English] Class 11 chapter 6 - Graphs of Trigonometric Functions [Latest edition]

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Chapters

    1: Sets

    2: Relations

    3: Functions

    4: Measurement of Angles

    5: Trigonometric Functions

▶ 6: Graphs of Trigonometric Functions

    7: Values of Trigonometric function at sum or difference of angles

    8: Transformation formulae

    9: Values of Trigonometric function at multiples and submultiples of an angle

    10: Sine and cosine formulae and their applications

    11: Trigonometric equations

    12: Mathematical Induction

    13: Complex Numbers

    14: Quadratic Equations

    15: Linear Inequations

    16: Permutations

    17: Combinations

    18: Binomial Theorem

    19: Arithmetic Progression

    20: Geometric Progression

    21: Some special series

    22: Brief review of cartesian system of rectangular co-ordinates

    23: The straight lines

    24: The circle

    25: Parabola

    26: Ellipse

    27: Hyperbola

    28: Introduction to three dimensional coordinate geometry

    29: Limits

    30: Derivatives

    31: Mathematical reasoning

    32: Statistics

    33: Probability

RD Sharma solutions for Mathematics [English] Class 11 chapter 6 - Graphs of Trigonometric Functions - Shaalaa.com

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Solutions for Chapter 6: Graphs of Trigonometric Functions

Below listed, you can find solutions for Chapter 6 of CBSE, Karnataka Board PUC RD Sharma for Mathematics [English] Class 11.

Exercise 6.1Exercise 6.2Exercise 6.3

Exercise 6.1 [Page 5]

RD Sharma solutions for Mathematics [English] Class 11 6 Graphs of Trigonometric Functions Exercise 6.1 [Page 5]

Exercise 6.1 | Q 1.1 | Page 5

Sketch the graph of the following function:
f(x) = 2 sin x, 0 ≤ x ≤ π

Exercise 6.1 | Q 1.2 | Page 5

Sketch the graph of the following function:

\[g\left( x \right) = 3 \sin \left( x - \frac{\pi}{4} \right), 0 \leq x \leq \frac{5\pi}{4}\]

Exercise 6.1 | Q 1.3 | Page 5

Sketch the graph of the following function:

\[h\left( x \right) = 2 \sin 3x, 0 \leq x \leq \frac{2\pi}{3}\]

Exercise 6.1 | Q 1.4 | Page 5

Sketch the graph of the following function:

\[\phi\left( x \right) = 2 \sin \left( 2x - \frac{\pi}{3} \right), 0 \leq x \leq \frac{7\pi}{5}\]

Exercise 6.1 | Q 1.5 | Page 5

Sketch the graph of the following function:

\[\psi\left( x \right) = 4 \sin 3\left( x - \frac{\pi}{4} \right), 0 \leq x \leq 2\pi\]

Exercise 6.1 | Q 1.6 | Page 5

Sketch the graph of the following function:

\[\theta\left( x \right) = \sin \left( \frac{x}{2} - \frac{\pi}{4} \right), 0 \leq x \leq 4\pi\]

Exercise 6.1 | Q 1.7 | Page 5

Sketch the graph of the following function:

\[u\left( x \right) = \sin^2 x, 0 \leq x \leq 2\pi v\left( x \right) = \left| \sin x \right|, 0 \leq x \leq 2\pi\]

Exercise 6.1 | Q 1.8 | Page 5

Sketch the graph of the following function:

f(x) = 2 sin πx, 0 ≤ x ≤ 2

Exercise 6.1 | Q 2.1 | Page 5

Sketch the graph of the following pair of functions on the same axes:
\[f\left( x \right) = \sin x, g\left( x \right) = \sin \left( x + \frac{\pi}{4} \right)\]

Exercise 6.1 | Q 2.2 | Page 5

Sketch the graph of the following pair of functions on the same axes:
f(x) = sin x, g(x) = sin 2x

Exercise 6.1 | Q 2.3 | Page 5

Sketch the graph of the following pair of functions on the same axes:
f(x) = sin 2x, g(x) = 2 sin x

Exercise 6.1 | Q 2.4 | Page 5

Sketch the graph of the following pair of functions on the same axes:
\[f\left( x \right) = \sin\frac{x}{2}, g\left( x \right) = \sin x\]

Exercise 6.2 [Page 8]

RD Sharma solutions for Mathematics [English] Class 11 6 Graphs of Trigonometric Functions Exercise 6.2 [Page 8]

Exercise 6.2 | Q 1.1 | Page 8

Sketch the graph of the following trigonometric functions:

\[f\left( x \right) = \cos\left( x - \frac{\pi}{4} \right)\]

Exercise 6.2 | Q 1.2 | Page 8

Sketch the graph of the following trigonometric functions:

\[g\left( x \right) = \cos\left( x + \frac{\pi}{4} \right)\]

Exercise 6.2 | Q 1.3 | Page 8

Sketch the graph of the following trigonometric functions:
h(x) = cos² 2x

Exercise 6.2 | Q 1.4 | Page 8

Sketch the graph of the following trigonometric functions:

\[\phi\left( x \right) = 2 \cos\left( x - \frac{\pi}{6} \right)\]

Exercise 6.2 | Q 1.5 | Page 8

Sketch the graph of the following trigonometric functions:
ψ(x) = cos 3x

Exercise 6.2 | Q 1.6 | Page 8

Sketch the graph of the following trigonometric functions:
\[u\left( x \right) = \cos^2 \frac{x}{2}\]

Exercise 6.2 | Q 1.7 | Page 8

Sketch the graph of the following trigonometric functions:
f(x) = cos π x

Exercise 6.2 | Q 1.8 | Page 8

Sketch the graph of the following trigonometric functions:
g(x) = cos 2π x

Exercise 6.2 | Q 2.1 | Page 8

Sketch the graph of the following curves on the same scale and the same axes:

\[y = \cos x\text{ and }y = \cos \left( x - \frac{\pi}{4} \right)\]

Exercise 6.2 | Q 2.2 | Page 8

Sketch the graph of the following curves on the same scale and the same axes:
\[y = \cos 2x\text{ and }y = \cos 2\left( x - \frac{\pi}{4} \right)\]

Exercise 6.2 | Q 2.3 | Page 8

Sketch the graph of the following curves on the same scale and the same axes:

\[y = \cos x\text{ and }y = \cos\frac{x}{2}\]

Exercise 6.2 | Q 2.4 | Page 8

Sketch the graph of the following curves on the same scale and the same axes:

\[y = \cos^2 x \text{ and }y = \cos x\]

Exercise 6.3 [Page 13]

RD Sharma solutions for Mathematics [English] Class 11 6 Graphs of Trigonometric Functions Exercise 6.3 [Page 13]

Exercise 6.3 | Q 1 | Page 13

Sketch the graphs of the following functions:
f(x) = 2 cosec πx

Exercise 6.3 | Q 2 | Page 13

Sketch the graphs of the following functions:
f(x) = 3 sec x

Exercise 6.3 | Q 3 | Page 13

Sketch the graphs of the following functions:
f(x) = cot 2x

Exercise 6.3 | Q 4 | Page 13

Sketch the graphs of the following functions:
f(x) = 2 sec πx

Exercise 6.3 | Q 5 | Page 13

Sketch the graphs of the following functions:
f(x) = tan² x

Exercise 6.3 | Q 6 | Page 13

Sketch the graphs of the following functions:
f(x) = cot² x

Exercise 6.3 | Q 7 | Page 13

Sketch the graphs of the following functions:

\[f\left( x \right) = \cot\frac{\pi x}{2}\]

Exercise 6.3 | Q 8 | Page 13

Sketch the graphs of the following functions:
f(x) = sec² x

Exercise 6.3 | Q 9 | Page 13

Sketch the graphs of the following functions:
f(x) = cosec² x

Exercise 6.3 | Q 10 | Page 13

Sketch the graphs of the following functions:
f(x) = tan 2x

Solutions for 6: Graphs of Trigonometric Functions

Exercise 6.1Exercise 6.2Exercise 6.3

RD Sharma solutions for Mathematics [English] Class 11 chapter 6 - Graphs of Trigonometric Functions - Shaalaa.com

RD Sharma solutions for Mathematics [English] Class 11 chapter 6 - Graphs of Trigonometric Functions

Shaalaa.com has the CBSE, Karnataka Board PUC Mathematics Mathematics [English] Class 11 CBSE, Karnataka Board PUC solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RD Sharma solutions for Mathematics Mathematics [English] Class 11 CBSE, Karnataka Board PUC 6 (Graphs of Trigonometric Functions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. RD Sharma textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics [English] Class 11 chapter 6 Graphs of Trigonometric Functions are Transformation Formulae, 180 Degree Plusminus X Function, 2X Function, 3X Function, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Concept of Angle, Introduction of Trigonometric Functions, Signs of Trigonometric Functions, Domain and Range of Trigonometric Functions, Trigonometric Functions of Sum and Difference of Two Angles, Trigonometric Equations, Trigonometric Functions, Truth of the Identity, Negative Function Or Trigonometric Functions of Negative Angles, 90 Degree Plusminus X Function, Conversion from One Measure to Another, Graphs of Trigonometric Functions, Values of Trigonometric Functions at Multiples and Submultiples of an Angle, Sine and Cosine Formulae and Their Applications.

Using RD Sharma Mathematics [English] Class 11 solutions Graphs of Trigonometric Functions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RD Sharma Solutions are essential questions that can be asked in the final exam. Maximum CBSE, Karnataka Board PUC Mathematics [English] Class 11 students prefer RD Sharma Textbook Solutions to score more in exams.

Get the free view of Chapter 6, Graphs of Trigonometric Functions Mathematics [English] Class 11 additional questions for Mathematics Mathematics [English] Class 11 CBSE, Karnataka Board PUC, and you can use Shaalaa.com to keep it handy for your exam preparation.

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