NCERT Solutions For Class 11 Mathematics Chapter 3: Trigonometric Functions

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NCERT Solutions for class 11 mathematics Chapter 3 Trigonometric Functions are provided in the article below. Trigonometric Functions are the functions of angles of a triangle that explains the relationships between them.

NCERT Solutions for Class 11 Mathematics Chapter 3 cover important concepts including Basic Trigonometric Functions, Trigonometric Identities, and Formulas.

Download: NCERT Solutions for Class 11 Mathematics Chapter 3 pdf

Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions are provided below:

Also check: Trigonometric Functions

Important Topics: Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

Important Topics Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions are elaborated below:

Degree measure

Important angles of trigonometry are 0°, 30°, 45°, 60°, 90°. These are standard angles of trigonometric ratios like sin, cos, tan, sec, cosec, and cot. These angles have different values with different trigonometric functions.

Radian measure

Angle subtended at the centre by an arc of length 1 unit in a unit circle (circle of radius 1 unit) is said to have a measure of 1 radian.

The symbol used to denote the radian measure is “rad” or ^“c”

Relation between radian and real numbers

The relation between radian and real numbers can be established using following steps:

Step 1: Consider the unit circle with centre A.

Step 2: Locate a point, say B on the circle.

Step 3: Now, take the line segment AB as the initial side of an angle.

Step 4: From the initial side AB, the length of an arc of the circle will give the radian measure of the angle, which the arc will subtend at the centre of the circle.

Step 5: Draw the line OPQ, which is tangent to the circle with the point of contact B.

Step 6: Consider this line as a number line with real numbers such that the point O represents the real number zero (0), OB represents the positive real numbers, and BP represents negative real numbers.

Sign of trigonometric functions

Following are the signs of trigonometric functions:

Trigonometric Functions	Quadrant I	Quadrant II	Quadrant III	Quadrant IV
sin θ	+ve	+ve	-ve	-ve
cos θ	+ve	-ve	-ve	+ve
tan θ	+ve	-ve	+ve	-ve
cosec θ	+ve	+ve	-ve	-ve
sec θ	+ve	-ve	-ve	+ve
cot θ	+ve	-ve	+ve	-ve

NCERT Solutions For Class 11 Maths Chapter 1 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 1 Sets under different exercises are as follows:

Also check:

Chapter Related Topics
Relation between degree and radian	Domain and range of trigonometric functions	Degrees to Radians
Cosine Rule	Sin 180 Degrees	Law of Sines
Cosine Formula	Tan2x Formula	Sin2x Formula
Cos2x Formula	Sin squared x formula	2cosa cosb formula
Tangent 3 theta formula	Cos Square Theta formula	Cot tan formula
Cotangent formula	Degree and radian measure formula	Side angle side formula

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).
- \(0\)
- \(-2\)
- \(-1\)
- \(2\)
View Solution
2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]
View Solution
3.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- \(-\frac{\pi}{2}\)
- \(-\frac{\pi}{4}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{2}\)
View Solution
4.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).
View Solution
5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.
6.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).
- \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)
View Solution

View All

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NCERT Solutions For Class 11 Mathematics Chapter 3: Trigonometric Functions

Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

Important Topics: Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

NCERT Solutions For Class 11 Maths Chapter 1 Exercises:

CBSE CLASS XII Related Questions

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

3.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

4.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

6.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

Similar Mathematics Concepts

Comments

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NCERT Solutions For Class 11 Mathematics Chapter 3: Trigonometric Functions

Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

Important Topics: Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

NCERT Solutions For Class 11 Maths Chapter 1 Exercises:

CBSE CLASS XII Related Questions

1. Find: If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

2.Evaluate:\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

3. Find: The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

4.Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

5.A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

6.Find:Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]

3.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

4.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

5.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.

6.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).