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RD Sharma Class 11 Solutions Chapter 5 - Trigonometric Functions (Ex 5.2) Exercise 5.2 - Free PDF

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Last updated date: 13th Jul 2024
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Preparation with RD Sharma Class 11 Solutions

Free PDF download of RD Sharma Class 11 Solutions Chapter 5 - Trigonometric Functions Exercise 5.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 5 - Trigonometric Functions Ex 5.2 Questions with Solutions for RD Sharma Class 11 Maths 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. 

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RD Sharma Class 11 Chapter 5

RD Sharma Class 11 Chapter 5 Trigonometric Functions is an important chapter for students and they should not miss it. It contains a lot of formulas and can be quite tricky to learn but at Vedantu, we provide simpler methods which are easy to understand for the students to get the concept and score good marks in exams. This chapter requires a lot of focus and practice because of the number of formulas that are there.Trigonometric functions are also known as angle functions and are developed to solve problems regarding triangles. The functions used are Sin, Cos, tan and their reciprocal identities are cosecant, secant and cotangent. Students will come across a lot of different identities in this chapter which they will need to learn because it is needed in their higher class as well. 

RD Sharma Solutions for Class 11 chapter 5 is provided in easy and understandable terms for better understanding of students who are writing their boards and other competitive exams soon. It is provided with a step by step method keeping in mind that each student has a different level of understanding. 

Vedantu has provided easy step by step pdf solutions for all exercise questions of Class 11 RD Sharma Chapter 5 Trigonometric Functions.

Class 11th Chapter Trigonometric Function Exercises and Questions Covered in NCERT Textbook along with the Number of Questions Covered 

Exercise 3.1- 7 Questions

Exercise 3.2- 10 Questions

Exercise 3.3- 25 Questions

Exercise 3.4- 9 Questions

Miscellaneous Exercise-  10 Questions 

List of Basic Trigonometric Functions 

(image will be uploaded soon)

  1. Sin0 = opposite/ hypotenuse 

= AC/BC 

  1. Cos0= adjacent/ hypotenuse 

=  AB/ BC 

  1. Tan0= opposite/adjacent 

=  AC/ AB 

  1. cosec 0= 1/(sin0) 

=  hypotenuse/ opposite 

= BC/ AC 

  1. Sec 0= 1/(Cos0) 

= hypotenuse/ adjacent 

BC/ AB 

  1. Cot0= 1/(tan0)

= Adjacent/opposite 

= AB/ AC 

Secant, cosecant and cotangent are the three functions which are derived from sine, cos, and tan, which are the primary functions. The reciprocal of sine, cos, and tan are cosecant, secant, and cotangent respectively. They are also written as cosec, sec and cot functions. 

What are the 6 trigonometric functions to keep in mind while learning this chapter and what are the uses of these functions? 

They are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent. These trigonometric functions are used to find the unknown angle or side of a right-angled triangle. 

FAQs on RD Sharma Class 11 Solutions Chapter 5 - Trigonometric Functions (Ex 5.2) Exercise 5.2 - Free PDF

1. What are the topics covered in RD Sharma Class 11th Chapter 5 of Trigonometric Function? 

The topics covered in RD Sharma Solutions for Class 11 Maths Chapter 5 are

  • Trigonometric functions of a real number.

  • Values of trigonometric functions.

  • Trigonometric identities.

  • Trigonometric functions.

  • Difference in values of trigonometric functions in different quadrants.

  • Values of trigonometric functions at angles.

  • Periodic functions.

  • Even and odd functions 

Once the students understand these, it becomes very easy for them to apply in practical life. Questions based on trigonometry help increase student’s thinking abilities and it helps them in the future because it is going to be used in a lot of places. They will need to remember these functions to solve more complex problems. 

2. What are the basic trigonometric formulas and their reciprocal identities? 

Formulas for Angle θ

Reciprocal Identities

sin θ = Opposite Side / Hypotenuse

sin θ = 1/ cosec θ

cos θ = Adjacent Side / Hypotenuse

cos θ = 1/ sec θ

tan θ = Opposite Side / Adjacent

tan θ = 1/ cot θ

cot θ = Adjacent Side / Opposite

cot θ = 1/ tan θ

sec θ = Hypotenuse / Adjacent Side

sec θ = 1/ cos θ

cosec θ = Hypotenuse / Opposite

cosec θ = 1/ sin θ

3. What are the ratios of all the basic Trigonometric functions and their reciprocals? 

Trigonometric Ratios/

Angle= θ in Degrees

0 ° 

30 °  

45 °  

60 ° 

90°

Sin θ

0

1/2

1/√2

√3/2

1

Cos θ

1

√3/2

1/√2

1/2

0

Tan θ

0

1/√3

1

√3

Cosec θ

2

√2

2/√3

1

Sec θ

1

2/√3

√2

2

Cot θ

√3

1

1/√3

0