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NCERT solutions for class 11 maths chapter 3 exercise 3.1 is about some identities related to trignometric functions. In class 10 maths NCERT syllabus chapter 8 students have already familiarised the basic trigonometric functions, in this chapter applications of trigonometric functions are discussed which includes length of Arc and Chord of a circle etc. NCERT book Exercise 3.1 Class 11 Maths will be used in the class 12 chapter of Inverse Trigonometric functions. Solving NCERT Solutions for class 11 maths chapter 3 exercise 3.1 will be useful to make a strong base in Trigonometry. Many questions can be seen in the previous year question papers from class 11 maths chapter 3 exercise 3.1. Following exercise of NCERT can be explored for further information about upcoming exercises.
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JEE Main Scholarship Test Kit (Class 11): Narayana | Physics Wallah | Aakash | Unacademy
Suggested: JEE Main: high scoring chapters | Past 10 year's papers
(i)
Answer:
It is solved using relation between degree and radian
(i) We know that
=
radianSo,
radian
radian
radian(ii)
We know that
Now, we know that
radianSo,
radian
radian(iii)
We know that
radianSo,
radian(iv)
We know that
radianSo,
radian
radian
Question:2 Find the degree measures corresponding to the following radian measures. (Use
Answer:
(1)
We know that
So,
(we use
Here 1' represents 1 minute and 60" represents 60 seconds
Now,
(ii) -4
We know that
So, -4 radian =
(we use
(iii)
We know that
So,
(iv)
We know that
So,
Question:3 A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Answer:
Number of revolutions made by the wheel in 1 minute = 360
(
In one revolutions wheel will cover
So, in 6 revolutions it will cover =
Answer:
We know that
here r = 100 cm
and l = 22 cm
Now,
We know that
So,
Angle subtended at the centre of a circle
Answer:
Given :- radius (r)of circle =
length of chord = 20 cm
We know that
Now,
AB is the chord of length 20cm and OA and OB are radii of circle 20 cm each
The angle subtended by OA and OB at centre =
So, each angle equilateral is
Now, we have
So,
Answer:
Given:-
We need to find the ratio of their radii
We know that arc length
So,
Now,
So,
Question:7 Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length
(i) 10 cm
(ii) 15 cm
(iii) 21 cm
Answer:
(i) We know that
Now,
r = 75cm
l = 10cm
So,
(ii) We know that
Now,
r = 75cm
l = 15cm
So,
(iii) We know that
Now,
r = 75cm
l = 21cm
So,
The NCERT class 11 maths chapter Trigonometric functions is one of the most important chapters as it has linkages with a lot of other chapters in Maths as well as physics. Exercise 3.1 Class 11 Maths Mainly discusses the application of various trigonometric functions to find out the arc length, chord etc. Hence NCERT Solutions for class 11 maths chapter 3 exercise 3.1 must be done seriously by the students.
The class 11th maths chapter 3 exercise is prepared by expert faculties.
Exercise 3.1 Class 11 Maths can help one in a tremendous way as it has application in a lot of upcoming chapters of class 11 as well as class 12.
class 11 maths chapter 3 exercise 3.1 solutions provided here are one stop solution for theory as well as question practice.
Also see-
Application of trigonometric functions for finding the arc length, chord length etc. is discussed in this exercise.
Yes, the basics of this chapter are used in the inverse trigonometric functions.
Approx 10 marks questions are asked in the final exams of 11 Class.
It can help to save time in the exam but more focus should be on the concepts.
Yes, but in the CBSE examination it is not recommended but it can be used in JEE Main and NEET to save time.
Questions of easy, moderate and a few difficulty level are asked. Most of the questions are of moderate level.
Total 7 questions are discussed in this exercise.
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