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RD Sharma Class 11 Solutions Chapter 6 - Graphs of Trigonometric Functions (Ex 6.2) Exercise 6.2

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Last updated date: 28th Feb 2024
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IVSAT 2024

Preparation with RD Sharma Class 11 Solutions Chapter 6

Free PDF download of RD Sharma Class 11 Solutions Chapter 6 - Graphs of Trigonometric Functions Exercise 6.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 6 - Graphs of Trigonometric Functions Ex 6.2 Questions with Solutions for RD Sharma Class 11 Math to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

 

RD Sharma Class 11 solutions Chapter 6 Exercise 6.2 contains problems based on the graph of a cos function. Trigonometric functions explain about the angle of a right-angled triangle to ratios of two side lengths. They are the real functions. They are very useful in Fourier series. They are used in almost every engineering and science field that are related to geometry, such as navigation, distance calculation, celestial mechanics, Waves, engine, geodesy, etc. The main six trigonometric functions are namely, sine, cosine, tangent, secant, cosecant, and cotangent which are used in almost all places. Tangent functions are used to find distances such as the height of a building or mountain. All the exercises are solved by experienced tutors in very simple and easy to understand methods. Also the solutions are as per the procedure approved for the board exam. While solving problems students can use the solutions pdf for the reference and guidance, which will help in self evaluation and scoring good marks in their exams. 

Competitive Exams after 12th Science

What are the Topics that You will Learn in this Chapter?

Learn to Analyze the graph of  y=tan x.

  • Learn about Graph variations of  y=tan x.

  • Learn to Analyze the graphs of  y=sec x  and  y=csc x.

  • Learn about Graph variations of  y=sec x  and  y=csc x.

  • Learn to Analyze the graph of  y=cot x. 

  • Learn about Graph variations of  y=cot x.  

  • Domain, Range of all the graphs 

 

Domain and Range of all the Trigonometric Functions 

  1. Domain and range of sine function 

             y =Sin(x)=f(x)

             Range value lies between -1 ≤ y ≤ 1

             Domain is determined for all the ‘x’ real values

             Period: 2π = 360º

             Sine Function is an odd function

  1. Domain and Range of Cosine function 

             y = cos(x)=f(x)

             Range value lies between -1 ≤ y ≤ 1

             Domain is defined for all the x real values

             Period: 2π

             Cosine is an even function 

  1. Domain and range of tangent function 

 For y=tan(x)=f(x)

             Range is basically all real numbers (or y ∈ R)

             Domain is defined for all x real values, except x ≠(2n + 1)(π/2), where n
              Is any integer. 

             Period: π

             Tangent is an odd function  

FAQs on RD Sharma Class 11 Solutions Chapter 6 - Graphs of Trigonometric Functions (Ex 6.2) Exercise 6.2

1. What are the similarities between sin and cos graphs? 

1. Both the sin and cos graphs have curves along the x-axis.
        2. They have an amplitude of 1.
        3. Their period of degree is 360 degrees.
        4. They both have the same domain which is a set of all real numbers. 

2. What is the range of tangent function? 

Range of tangent function is not defined because the range goes from positive infinity to negative infinity, and since infinity is not defined, the range is not defined. 

3. What are the  six basic trigonometric functions to keep in mind? 

The six main trigonometric functions to keep in mind are- Sine, cosine, tangent,  secant, cosecant, and cotangent. 


Sin, cos and tan are the main functions whereas cosec, sec and cot are the inverse of the main functions. 

4. Why should you download RD Sharma Class 11 Solutions Chapter 6 Exercise 6.2

Solutions to all the exercises from RD Sharma Class 11 are prepared and checked by Vedantu educators who provide free PDFs to the solution of all the exercises in addition with question papers and sample papers of previous years. You can download the file and save it for offline use as well. 

 

Steps for Solutions followed as per CBSE guidelines. The steps by step procedure shown is very much simpler and less complex than the textbook answers.
Our educators are also available for online tutoring sessions. Students learning from Vedantu will for sure earn good marks in their examination. 

5. Is RD Sharma  Solutions for Class 11 Math Chapter 6 important from an exam point of view? 

Yes, RD Sharma Solutions for Class 11 Math Chapter 6 is important from exam point of view as it will help increase your overall marks and it is needed even in higher studies because this concept is applied in almost every science and engineering field. RD Sharma solutions for Class 11 Math Chapter 6 provides steps in very simplified and understandable form for students to grasp the concept quickly. Try to avoid neglecting this topic for your own benefit.