CBSE Class 11 Mathematics Trigonometric Functions Worksheet Set B

Read and download free pdf of CBSE Class 11 Mathematics Trigonometric Functions Worksheet Set B. Students and teachers of Class 11 Mathematics can get free printable Worksheets for Class 11 Mathematics Chapter 3 Trigonometric Functions in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 11 students should practice questions and answers given here for Mathematics in Class 11 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 11 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 11 Mathematics Chapter 3 Trigonometric Functions

Class 11 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 3 Trigonometric Functions in Class 11. This test paper with questions and answers for Class 11 will be very useful for exams and help you to score good marks

Class 11 Mathematics Worksheet for Chapter 3 Trigonometric Functions

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.

Worksheet for CBSE Mathematics Class 11 Chapter 3 Trigonometric Functions

We hope students liked the above worksheet for Chapter 3 Trigonometric Functions designed as per the latest syllabus for Class 11 Mathematics released by CBSE. Students of Class 11 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 11 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 11 Mathematics to develop the Mathematics Class 11 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 11 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 11 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.

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CBSE Class 11 Mathematics Chapter 3 Trigonometric Functions worksheets cover all topics as per the latest syllabus for current academic year.

How can I use worksheets to improve my Class 11 Mathematics scores?

Regular practice with Class 11 Mathematics worksheets can help you understand all concepts better, you can identify weak areas, and improve your speed and accuracy.