Refer to Class 11 Mathematics Trigonometric Functions MCQs Set C provided below available for download in Pdf. The MCQ Questions for Class 11 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 3 Trigonometric Functions Class 11 MCQ are an important part of exams for Class 11 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects
MCQ for Class 11 Mathematics Chapter 3 Trigonometric Functions
Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 3 Trigonometric Functions in Class 11.
Chapter 3 Trigonometric Functions MCQ Questions Class 11 Mathematics with Answers
Question. If 1+sin θ + sin2 θ +…∞ = 4+2√3,0<θ <π,θ ≠π/2, , then
(a) θ =π/6
(b) θ=π/3
(c) θ =π/3 or π/6
(d) θ= π/3 or 2π/3
Answer: D
Question. General solution of tan 5θ = cot 2θ is
(a) θ = nπ/7 + π/14
(b) θ = nπ/7 + π/5
(c) θ = nπ/7 + π/2
(d) θ = nπ/7 + π/3
Answer: A
Question. If tan α =sinθ- cosθ/sin θcos θ, then sin a α is equal to
(a) ± sin θ+cos θ /√2
(b) ± sin θ-cosθ/√2
(c) ± – (sin θcos θ) q q
(d) None of the options
Answer: B
Question. The angle subtended at the centre of a circle of diameter 50 cm by an arc of length 11 cm is
(a) 25° 27′
(b) 23° 12′
(c) 25° 12′
(d) None of the options
Answer: C
Question. If sec A= a +(1/4a), then sec A + tan is equal to
(a) 2a or 1/2a
(b) a or 1/a
(c) 2a or 1/a
(d) a or 1/2a
Answer: A
Question. The value of cos4 π/8 + cos4 3π/8 + cos4 3π/8 +cos4 5π/8 + cos4 7π/8 is equal to
(a) 2
(b) 1/2
(c) 3/2
(d) None of the options
Answer: C
Question. The greatest value of 4 sin θ+3 cosθ + 10 is
(a) 13
(b) 15
(c) –15
(d) –13
Answer: B
Question. If cos A =-m cos B and cot A+B/2 ∈(θ-β) b, then sin2 (α- β) +-2ab cos (α- β) is equal to
(a) a2 +b2
(b) a2 – b2
(c) b2-a2
(d) – a2– b2
Answer: A
Question. cos 2θ cos 2Φ +sin2 (θ-Φ) -sin2 (θ+Φ) is equal to
(a) sin 2(θ+Φ)
(b) cos 2(θ+Φ)
(c) sin 2(θ-Φ)
(d) cos 2(θ-Φ)
Answer: B
Question. If cos(θ-α) = sin (θ-β) = b, then cos 2(α-β ) +2absin (α-β) is equal to
(a) 4a2b2
(b) a2-b2
(c) a2 +b2
(d) – a2 b2
Answer: C
Question. If angle θ is divided into two parts such that the tangent of one part is K times the tangent to other and Φ is their difference, then sin θ is equal to
(a) K+1/K–1sinθ/2
(b) K+1/K–1sinΦ/2
(c) K+1/K–1sinΦ
(d) K–1/K+1sinΦ
Answer: C
Question. If tan(A – B) = 1, sec(A + B) = 2√3 , the smallest positive value of B is
(a) 25π/24
(b) 19π/24
(c) 13π/24
(d) 7π/24
Answer: D
Question. The most general value of θ satisfying the equations sin θ = sin α and cos θ = cos α is
(a) 2nπ + α
(b) 2nπ – α
(c) nπ + α
(d) nπ – α
Answer: A
Question. Solution of the equation 3 tan(θ – 15) = tan(θ + 15) is
(a) θ = nπ/2 + (–1)n π/4
(b) θ = nπ + (–1)n π/3
(c) θ = nπ – π/3
(d) θ = nπ – π/4
Answer: A
Question. If cosec θ – sin θ =a3 and sec θ – cos θ = b3,then is a2b2(a2+b2) is equal to
(a) 2
(b) sin2/θ
(c) cos2/θ
(d) 1
Answer: D
Question. If cos2 B-1=tan2 A, then cosA cosB is equal to
(a) ±1/2
(b) ±1/3
(c) ±1/√2
(d) None of the options
Answer: C
Question. If√1-sin α/√1+sin α = sec α- tan α, then the quadrants in which α lies are
(a) II and III
(b) I and IV
(c) I and II
(d) III or IV
Answer: B
Question. The minimum value of 2 sinx+2cos x is
(a) 1
(b) 2
(c) 2-1/√2
(d) 21-1/√2
Answer: D
Question. The value of sin(45°+θ)- cos (45°-θ) is
(a) 2 cos θ
(b) 2 sin θ
(c) 1
(d) 0
Answer: D
Question. The value of cos2 48° – sin2 12° sin is
(a) √5+ 1/8
(b) √5- 1/8
(c) √5+ 1/5
(d) √5+ 1/2√2
Answer: A
Question. If cos (θ+Φ) =m cos (θ-Φ), then 1-m/1+m cot Φ is equal to
(a) tan q
(b) – tan q
(c) 2 tan q
(d) None of the options
Answer: A
Question. Value of sin 10° + sin 20° + sin 30° +……+sin360° is
(a) 1
(b) 0
(c) 2
(d) 1/2
Answer: B
Question. cot2π/6 + cosec 5π/6 + 3 tan2π/6 is equal to
(a) 1
(b) 5
(c) 3
(d) 6
Answer: D
Question. If cosec θ – = cot θ = p, then the value of cosec θ is
(a) 1/2(p+1/p)
(b) 1/2(1-1/p)
(c) (1+1/p)
(d) (1-1/p)
Answer: B
Question. If sin3 θ+y cos3 θ = cos θ sin θ and x sin θ = y cos θ, then
(a) x2+y2=2
(b) x2+y2 = 4
(c) x2+ y2 3
(d) x2+y2=1
Answer: D
Question. he minimum value of 9 tan2 θ+4 cot2θ is
(a) 13
(b) 9
(c) 6
(d) 12
Answer: D
Question. If tan α =(1+2-x, tan β =(1+2 x+1)-1, then α + β equals
(a) π/6
(b) π/4
(c) π/3
(d) π/2
Answer: B
Question. The value of sin 12° sin 48° sin 54° is equal to
(a) 1/16
(b) 1/32
(c) 1/8
(d) 1/4
Answer: C
Question. The value of expression sin θ + cos θ lies between
(a) –2 and 2 both inclusive
(b) 0 and √2 both inclusive
(c) – √2 and √2 both inclusive
(d) 0 and 2 both inclusive
Answer: C
Question. The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use π = 3.14)
(a) 2.68 cm
(b) 6.28 cm
(c) 6.82 cm
(d) 7.42 cm
Answer: B
Question. The value of the expression tanθ/1-cot +cot/1-tan θ -sec θ cosec θ is equal to
(a) -1
(b) 0
(c) 1
(d) None of the options
Answer: C
Question. If cos θ = – √3/2 and sin α= -3/5, where θ does not lie in the third quadrant and α lies in the third quadrant, then 2 tan α+√3 tan θ /cot2 θ +cos α is equal to
(a) 5/22
(b) 7/22
(c) 9/22
(d) 22/5
Answer: A
Question. The equation cos 4x-(a+2) cos2 x-(a+3)=0 possesses a solution, if
(a) a > – 3
(b) a < – 2
(c) -3 ≤ a ≤-2
(d) a is any positive integer
Answer: C
Question. The value of sin20° sin 40° sin60° sin80° is equal to
(a) -3/16
(b) 5/16
(c) 3/16
(d) -5/16
Answer: C
Question. If cosα+ cosβ=0= sinα+ sinβ , cos2α+ cos2β equal to
(a) 2cos (α+β )
(b) -cos (α+β )
(c) 3 cos(α+β )
(d) None of the options
Answer: B
Question. If tan θ + sec θ = p, then what is the value of sec θ ?
(a) p2+1/p2
(b) p2+1/√p
(c) p2+1/2p
(d) p+1/2p
Answer: C
Question. The value of tan 19π/3 is √n . Value of ‘n’ is
(a) 1
(b) 2
(c) 3
(d) 5
Answer: C
Question. If sec2 θ = 4/3, then the general value of θ is
(a) 2nπ ± π/6
(b) nπ ± π/6
(c) 2nπ ± π/3
(d) nπ ± π/3
Answer: B
Question. if cosec A + = cot A =11/2 then tanA is equal to
(a) 21/22
(b) 15/16
(c) 117/43
(d) 44/117
Answer: D
Question. The expression (sin 3x+ sinx ) sinx+ (cos 3x- cosx ) cosx is equal to
(a) 0
(b) 1
(c) –1
(d) 1
Answer: A
Question. If cos A= m cos B and cot A+B/2 =λ tan B-A/2, tan ,lthen λ is
(a) m/m – 1
(b) m+1/m
(c) m+1/m-1
(d) None of the options
Answer: C
Question. If angle θ be divided into two parts such that the tangent of one part is k times the tangent of the other and f is their difference, then sin θ is equal to
(a) k+1/k-1sin θ
(b) k-1/k+1 sinθ
(c) 2k -1/2k+1 sin θ
(d) None of the options
Answer: A
Question. Value of 2 sin2 π/6 + cosec2 7π/6 · cos2 π/3 is m/m–1 .The value of ‘m’ is
(a) 3
(b) 2
(c) 4
(d) None of the options
Answer: A
Question. Find x from the equation:
cosec (90° + θ) + x cos θ cot (90° + θ) = sin (90° + θ).
(a) cot θ
(b) tan θ
(c) –tan θ
(d) –cot θ
Answer: B
Question. If 3 sin θ cos θ = 5, then the value of 5θ -3 cos θ is
(a) ± 9
(b) ± 3
(c) ± 4
(d) ± 5
Answer: B
Question. If 1-tan x/1+tan x = tan y and x-y = π/6, then x and y are respectively
(a) 5π/24, π/24
(b) -7π/24,-11π/24
(c) -115π/24,-119π/24
(d) All of these
Answer: D
Question. The value of cos π/5 cos2π/5 cos 4π/5 cos 8π/5 is equal to
(a) 1/16
(b) 0
(c) -1/8
(d) -1/16
Answer: D
Question. If √3 tan 2θ + √3 tan 3θ + tan 2θ tan 3θ = 1, then the general value of θ is
(a) nπ + π/5
(b) (n + 1/6)π/5
(c) (2n ± 1/6 )π/5
(d) (n + 1/3)π/5
Answer: B
Question. cot π/20 cot 3π/20 cot 5π/20 cot 7π/20 cot 9π/20 is equal to
(a) 0
(b) -1
(c) 1
(d) None of the options
Answer: C
Question. The value of cos 12°+ cos 84°+ cos 156°+ cos 132° is
(a) 1/2
(b) 1
(c) -1/2
(d) 1/8
Answer: C
Question. If cos x + cos y + cos α = 0 and sin x + sin y + sin α = 0, then cot( x + y/2) =
(a) sin α
(b) cos α
(c) cot α
(d) sin ( x + y/2)
Answer: C
Question. Find the distance from the eye at which a coin of a diameter 1 cm be placed so as to hide the full moon, it is being given that the diameter of the moon subtends an angle of 31′ at the eye of the observer.
(a) 110 cm
(b) 108 cm
(c) 110.9 cm
(d) 112 cm
Answer: C
Question. If sinB=1/5 sin(2A+B),then tan(A+B)/tan A is equal to
(a) 2/3
(b) 3/2
(c) 3/4
(d) None of the options
Answer: B
Question. If A+ B+ C + = π and cosA= cosB cosC, then tan B tan C is equal to
(a) 1/2
(b) 2
(c) 1
(d) -1/2
Answer: B
Question. The number of values of x in the interval [0, 3π] satisfying the equation 2 sin2 x + 5 sin x – 3 = 0 is
(a) 4
(b) 6
(c) 1
(d) 2
Answer: A
Class 11 Mathematics Set MCQs Set A |
Class 11 Mathematics Set Theory MCQs Set A |
Class 11 Mathematics Set Theory MCQs Set B |
Class 11 Mathematics Relations and Functions MCQs Set A |
Class 11 Mathematics Relations and Functions MCQs Set B |
Class 11 Mathematics Relations and Functions MCQs Set C |
Class 11 Mathematics Trigonometric Functions MCQs Set A |
Class 11 Mathematics Trigonometric Functions MCQs Set B |
Class 11 Mathematics Trigonometric Functions MCQs Set C |
Class 11 Mathematics Linear Inequalities MCQs Set A |
Class 11 Mathematics Linear Inequalities MCQs Set B |
Class 11 Mathematics Permutations and Combinations MCQs Set A |
Class 11 Mathematics Permutations and Combinations MCQs Set B |
Class 11 Mathematics Binomial Theorem MCQs Set A |
Class 11 Mathematics Binomial Theorem MCQs Set B |
Class 11 Mathematics Sequences and Series MCQs Set A |
Class 11 Mathematics Sequences and Series MCQs Set B |
Class 11 Mathematics Sequences and Series MCQs Set C |
Class 11 Mathematics Straight Lines MCQs Set A |
Class 11 Mathematics Straight Lines MCQs Set B |
Class 11 Mathematics Conic Sections MCQs Set A |
Class 11 Mathematics Conic Sections MCQs Set B |
Class 11 Mathematics Conic Sections MCQs Set C |
Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs Set A |
Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs Set B |
Class 11 Mathematics Limits And Derivatives MCQs Set A |
Class 11 Mathematics Limits And Derivatives MCQs Set B |
Class 11 Mathematics Statistics MCQs Set A |
Class 11 Mathematics Statistics MCQs Set B |
Class 11 Mathematics Statistics MCQs Set C |
Class 11 Mathematics Probability MCQs Set A |
Class 11 Mathematics Probability MCQs Set B |
Class 11 Mathematics Probability MCQs Set C |
MCQs for Chapter 3 Trigonometric Functions Mathematics Class 11
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