Trigonometric Functions MCQ Questions for Class 11 Maths Chapter 3 with Answers

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We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 3 Trigonometric Functions with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Trigonometric Functions. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The value of tan A/2 – cot A/2 + 2cot A is

(i) 0
(ii) 1
(iii) -1
(iv) None of these

(i) 0

Q2. If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

(i) a² + b² + c²
(ii) a² – b² – c²
(iii) a² – b² + c²
(iv) a² + b² – c²

(iv) a² + b² – c²

Q3. What is the value of (sin 22.1/2+ cos 22.1/2)4?)

(i) 3+2√2 /2
(ii) 1+2√2 /2
(iii) 3√2 +2
(iv) 1

(i) 3+2√2 /2

Q4. The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is

(i) sin x
(ii) sin 2x
(iii) sin 3x
(iv) sin 4x

(iii) sin 3x

Q5. If cos a + 2cos b + cos c = 2 then a, b, c are in

(i) 2b = a + c
(ii) b² = a × c
(iii) a = b = c
(iv) None of these

(i) 2b = a + c

Q6. The value of cos² 48° – sin²12° is

(i) √5 + 1/8
(ii) √5 – 1/8
(iii) √5 + 1/5
(iv) √5 + 1/2/√2

(i) √5 + 1/8

Q7. If tan x = (cos 9 + sin 9)/(cos 9 – sin 9), then x =

(i) 45
(ii) 54
(iii) 36
(iv) None of these

(ii) 54

Q8. In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals

(i) none of these
(ii) c/a
(iii) 1
(iv) a/c

(iii) 1

Q9. What is the value of sin (5Π/12) ?

(i) √3+1/2
(ii) √6+√2/4
(iii) √3+√2/4
(iv) √6+1/4

(ii) √6+√2/4

Q10. In a triangle ABC, sin A – cos B = cos C, then angle B is

(i) π/2
(ii) π/3
(iii) π/4
(iv) π/6

(i) π/2

Q11. If the angles of a triangle be in the ratio 1 : 4 : 5, then the ratio of the greatest side to the smallest side is

(i) 4 : (√5 – 1)
(ii) 5 : 4
(iii) (√5 – 1) : 4
(iv) none of these

(i) 4 : (√5 – 1)

Q12. Solution of the equation tan x + tan 2x + tan x. tan 2x = 1 will be :

(i) x = nΠ/3 + Π/12
(ii) x = nΠ/ – Π/4
(iii) x = nΠ/ + Π/3
(iv) x = nΠ/ ± Π/3

(i) x = nΠ/3 + Π/12

Q13. The value of cos 420° is

(i) 0
(ii) 1
(iii) 1/2
(iv) √3/2

(iii) 1/2

Q14. The value of cos 180° is

(i) 0
(ii) 1
(iii) -1
(iv) infinite

(iii) -1

Q15. The number of solution of tan x + sec x = 2cos x in [0, 2 p ) is

(i) 2
(ii) 3
(iii) 0
(iv) 1

(ii) 3

Q16. In any triangle ABC, if cos A/a = cos B/b = cos C/c and the side a = 2, then the area of the triangle is

(i) √3
(ii) √3/4
(iii) √3/2
(iv) 1/√3

(i) √3

Q17. The perimeter of a triangle ABC is 6 times the arithmetic mean of the sines of its angles. If the side b is 2, then the angle B is

(i) 30°
(ii) 90°
(iii) 60°
(iv) 120°

(ii) 90°

Q18. If tanΘ 1/2 and tanφ 1/3 then the value of Θ + φ is

(i) Π/6
(ii) Π
(iii) 0
(iv) Π/4

(iv) Π/4

Q19. The equation (cos p – 1) x² + cos p × x + sin p = 0, where x is a variable, has real roots. Then the interval of p may be any one of the following:

(i) (0, π)
(ii) (−π/2, π/2)
(iii) (0, π)
(iv) (−π, 0)

(i) (0, π)

Q20. If 3 × tan(x – 15) = tan(x + 15), then the value of x is

(i) 30
(ii) 45
(iii) 60
(iv) 90

(ii) 45

Q21. Let cos (α + β)= 4/5 and sin (α – β) = 5/13 where 0 ,≤ α,β ≤Π/4 Then tan 2α =

(i) 56/33
(ii) 19/12
(iii) 20/7
(iv) 25/16

(i) 56/33

Q22. If x > 0 then the value of f(x) = -3 × cos√(3 + x + x²) lie in the interval

(i) [-1, 1]
(ii) [-2, 2]
(iii) [-3, 3]
(iv) None of these

(iii) [-3, 3]

Q23. If cos a + 2cos b + cos c = 2 then a, b, c are in

(i) 2b = a + c
(ii) b² = a × c
(iii) a = b = c
(iv) None of these

(i) 2b = a + c

We Think the given NCERT MCQ Questions for class 11 Mathematics book Chapter 3 Trigonometric Functions with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 11 Maths of Trigonometric Functions MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soons.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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