CBSE Class 11 Mathematics Trigonometric Functions Worksheet Set B

Read and download the CBSE Class 11 Mathematics Trigonometric Functions Worksheet Set B in PDF format. We have provided exhaustive and printable Class 11 Mathematics worksheets for Chapter 3 Trigonometric Functions, designed by expert teachers. These resources align with the 2025-26 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.

Chapter-wise Worksheet for Class 11 Mathematics Chapter 3 Trigonometric Functions

Students of Class 11 should use this Mathematics practice paper to check their understanding of Chapter 3 Trigonometric Functions as it includes essential problems and detailed solutions. Regular self-testing with these will help you achieve higher marks in your school tests and final examinations.

Class 11 Mathematics Chapter 3 Trigonometric Functions Worksheet with Answers

Trigonometric Functions MCQ Questions with Answers Class 11 Mathematics

Q. If point (a , b) is on the Unit Circle associated with the rotation t, then the point on the Unit circle associated with rotation t + π / 2, has the following coordinates
a. (b , a)
b. (-b , a)
c. (-b , -a)
d. (-a , b)
Ans-b
 
Q. If 0 < t < π / 2 and sin t = 0.35, then cos(t + π) =?
a. 0.94
b. -0.94
c. 0.81
d. -0.81
Ans-b
 
Q. If tan(t) = 13, then cot(-t) =?
a. 13
b. 1 / 13
c. - 1 / 13
d. - 13
Ans-c
 
Q. cos(x) + cos(π - x) =?
a. 2 cos(x)
b. cos(x) - sin(x)
c. cos(x) + sin(x)
d. 0
Ans-d
 
Q. If 0 < t < π/2 and sin t = 0.65, what is sin(t + π) ?
a. -0.65
b. 0.65
c. 0.35
d. 0.76
Ans-a
 
Q. If cos(-t) = 0.34, what is cos(t) ?
a. -0.34
b. 0.66
c. 0.34
d. - 0.66
Ans-c
 
Q. If sin(-t) = 0.54, what is - sin(t) ?
a. 0.54
b. -0.54
c. - 0.46
d. 0.46
Ans-a
 
Q. Which of the following is not the same as tan(t)?
a. - tan(-t)
b. tan(t + 2π)
c. tan(t + π)
d. tan(t + π / 2)
Ans-d
 
Q. Which of the following is not correct?
a. sin(x) = -sin(-x)
b. sec(-t) = sec(t)
c. sin(π + x) = sin(x)
d. cos(π - x) = -cos(x)
Ans-c
 
Q. If sin t = 0.6 and cot t > 0, then sin (2 t) = ?
a. - 0.96
b. 0.48
c. 0.96
d. - 0.48
Ans-c
 
Q. If cos t = 0.8, then cos (2 t) = ?
a. 0.28
b. 0.4
c. 1.0
d.1.6
Ans-a
 
Q. If tan x = 5, then tan (2 x) = ?
a. 10
b. - 5 / 12
c. 1 / 10
d. 5 / 12
Ans-b
 
Q. If cos t = 3/4, and sin t < 0, then sin (3 t) = ?
a. √7 / 16
b. - 5 √7 / 16
c. - 3 √7 / 4
d. 5 √7 / 16
Ans-b
 
Q. If cos t = 1/3 and 3π /2 < t < 2π in quadrant IV, then sin (4 t) = ?
a. 8 √2 / 3
b. - 8 √2 / 3
c. - 56 √2 / 243
d. 56 √2 / 81
Ans-d
 
Q. If sin t = 1/5 and 0 < t < π/ 2, then cos (4 t) = ?
a. 0.3464
b. 0.8
c. 0.6928
d. - 0.6928
Ans-c
 
Q. Find all angles θ such that -2π < θ < 2π and cos θ = √2 / 2
a. {-7 π / 4, - π / 4 , π / 4 , 7 π / 4}
b. {- π / 4, - 3 π / 4 , π / 4 , 3 π / 4}
c. {-5 π / 4, π / 4 , 3 π / 4}
d. {π / 4 , π / 4 , 3 π / 4}
Ans-a

Q. If y = cos x, then what is the maximum value of y?

a. 1
b. -1
c. π
d. 2π
Ans-a
 
Q. What is the period of the trigonometric function given by f(x) = 2 sin(5 x)?
a. π / 5
b. 2 π / 5
c. 5 π
d. π
Ans-b
 
Q. What is the amplitude of the function f(x) = -3cos(πx)?
a. 3
b. -3
c. π
d. 2
Ans-a
 
Q. Which of the following functions has the greatest period?
a. f(x) = 20 sin(2x-π/2)
b. f(x) = - sin(πx)
c. f(x) = 2 sin(0.1 x)
d. f(x) = - sin(0.1 π x)
Ans-c 
 
Q. What is the range of the function f(x) = - 4 cos(2x - 3)
a. (0 , 4)
b. [0 , 4]
c. (-4 , 4)
d. [-4 , 4]
Ans-d 
 
Q. What is the phase shift of the function f(x) = 7sin(2x - π / 3)?
a. π / 3
b. π / 6
c. - π / 6
d. - π / 3
Ans-b 
 
Q. What is the range of the function f(x) = - 6 cos(π x - π/2) + 2?
a. [-6 , 6]
b. [-4 , 8]
c. [0 , 8]
d. [-6 , 0]
Ans-b 
 
Q. What is the amplitude of f(x) = 4 sin(x) cos(x)?
a. 4
b. 3
c. 2
d. 1
Ans-c 
 
Q. What is the period of f(x) = 0.5 sin(x) cos(x)?
a. 0.5
b. 2 π
c. π / 2
d. π
Ans-c 
 
Q.What is the amplitude of f(x) = sin(x) + cos(x)?
a. √2
b. √2 / 2
c. 2 √2
d. 2
Ans-a 
 
Q. Which of the following points is in the unit circle?
a. (-√2 / 2 , -√2 / 2)
b. (√2 / 3 , -√2 / 3)
c. (1 / 2 , 1 / 2)
d. (3 / 2 , 2 / 3)
Ans-a 
 
Q. A point is in Quadrant-III and on the Unit Circle. If its x-coordinate is -4 / 5, what is the y-coordinate of the point?
a. 3 / 5
b. -3 / 5
c. -2 / 5
d. 5 / 3
Ans-b
 
Q. Find the point on the Unit Circle associated with the rotation -9π/2
a. (0 , -1)
b. (0 , 1)
c. (1 , 0)
d. (-1 , 0)
Ans-d 
 
Q. Find the point on the Unit Circle associated with the angle 5π/3
a. (1 / 2 , 1 / 2)
b. (-√3 / 2 , 1/2)
c. (1 / 2 , -√3 / 2)
d. (-√3 / 2 , -1/2)
Ans-c 
 
Q. If point (a , b) is on the Unit Circle associated with the rotation t, which of the following is not correct?
a. sin(t) = b
b. cos(t) = a
c. sin(-t) = - a
d. cos(-t) = - a
Ans-d
 
Q. If point (a , b) is on the Unit Circle associated with the rotation t and point (c , d) is also on the Unit circle associated with rotation t + π, then which of the following is correct?
a. c = - a and d = - b
b. c = - a and d = b
c. c = a and d = b
d. c = a and d = - b
Ans-a
 

Q.1 If tan A = √3. then what is tan 2A?

Q.2 Solve : 2 cos2 x+3 sin x = 0

Q.3 Evaluate : sin(40°+θ)cos(10°+θ) - cos(40°+θ)sin(10°+θ)

Q.4 Prove that cot x cot 2x – cot 2x cot 3x – cot 3x cot x = 1. 

Q.5 Find the value of sin 150° + cos 300°.

Q.6 If in two circles, arcs of the same length subtend angles 75° and 120º at the centre, find the ratio of their radii.

Q.7 If in two circles, arcs of same length, subtend angles 120o and 150o at the centre, find the ratio of their radii.

Q.8 Write the value of tan 15°.

Q.9 Prove that : (cos x + cos y)2 + (sin x - sin y)2 = 4 cos2 x+y/2

Q.10 Find the value of cos 55° + cos 125° + cos 300°.

Q.11 Find the value of sin 15°.

Q.12 Prove that: (sin 3x + sin x) sin x + (cos 3x – cos x) cos x = 0. 

Q.13 A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second? 

Q.14 Prove that cos 19° - sin 19° / cos 19° + sin 19° = cot 74°

Q.15 If cot 2A = tan(n - 2)A, then what is A?

Q.16 Solve cos 2θ – cos θ = 0

Q.17 Write the general solution of cos x 1/2

Q.18 Prove that sec 8θ - 1 / sec 4θ - 1 = tan 8θ / tan 2θ

Q.19 Prove that cos2 A + cos2 B - 2 cos A cos B cos (A+B) = sin2 (A+B)

Q.20  Find the principal solutions of the equation tan x = √3.

CBSE Mathematics Class 11 Chapter 3 Trigonometric Functions Worksheet

Students can use the practice questions and answers provided above for Chapter 3 Trigonometric Functions to prepare for their upcoming school tests. This resource is designed by expert teachers as per the latest 2026 syllabus released by CBSE for Class 11. We suggest that Class 11 students solve these questions daily for a strong foundation in Mathematics.

Chapter 3 Trigonometric Functions Solutions & NCERT Alignment

Our expert teachers have referred to the latest NCERT book for Class 11 Mathematics to create these exercises. After solving the questions you should compare your answers with our detailed solutions as they have been designed by expert teachers. You will understand the correct way to write answers for the CBSE exams. You can also see above MCQ questions for Mathematics to cover every important topic in the chapter.

Class 11 Exam Preparation Strategy

Regular practice of this Class 11 Mathematics study material helps you to be familiar with the most regularly asked exam topics. If you find any topic in Chapter 3 Trigonometric Functions difficult then you can refer to our NCERT solutions for Class 11 Mathematics. All revision sheets and printable assignments on studiestoday.com are free and updated to help students get better scores in their school examinations.

Where can I download the 2025-26 CBSE printable worksheets for Class 11 Mathematics Chapter Chapter 3 Trigonometric Functions?

You can download the latest chapter-wise printable worksheets for Class 11 Mathematics Chapter Chapter 3 Trigonometric Functions for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.

Are these Chapter Chapter 3 Trigonometric Functions Mathematics worksheets based on the new competency-based education (CBE) model?

Yes, Class 11 Mathematics worksheets for Chapter Chapter 3 Trigonometric Functions focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

Do the Class 11 Mathematics Chapter Chapter 3 Trigonometric Functions worksheets have answers?

Yes, we have provided solved worksheets for Class 11 Mathematics Chapter Chapter 3 Trigonometric Functions to help students verify their answers instantly.

Can I print these Chapter Chapter 3 Trigonometric Functions Mathematics test sheets?

Yes, our Class 11 Mathematics test sheets are mobile-friendly PDFs and can be printed by teachers for classroom.

What is the benefit of solving chapter-wise worksheets for Mathematics Class 11 Chapter Chapter 3 Trigonometric Functions?

For Chapter Chapter 3 Trigonometric Functions, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.