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NCERT Solutions for class 11 Maths | Chapter 3 - Trigonometric Functions

Free download in PDF Class 11 Maths Chapter 3 Trigonometric Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Chemistry with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals
[A] none of these
[B] c/a
[C] 1
[D] a/c
Answer: 1
(2) 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
[A] 30°
[B] 90°
[C] 60°
[D] 120°
Answer: 90°
(3) If cos a + 2cos b + cos c = 2 then a, b, c are in
[A] 2b = a + c
[B] b² = a × c
[C] a = b = c
[D] None of these
Answer: 2b = a + c
(4) If tan A – tan B = x and cot B – cot A = y, then the value of cot (A – B) is
[A] x + y
[B] 1/x + y
[C] x + 1/y
[D] 1/x + 1/y
Answer: 1/x + 1/y
(5) If cos a + 2cos b + cos c = 2 then a, b, c are in
[A] 2b = a + c
[B] b² = a × c
[C] a = b = c
[D] None of these
Answer: 2b = a + c
(6) The value of 4 × sin x × sin(x + π/3) × sin(x + 2π/3) is
[A] sin x
[B] sin 2x
[C] sin 3x
[D] sin 4x
Answer: sin 3x
(7) The value of cos 20 + 2sin² 55 – √2 sin65 is
[A] 0
[B] 1
[C] -1
[D] None of these
Answer: 1
(8) 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
[A] 4 : (√5 – 1)
[B] 5 : 4
[C] (√5 – 1) : 4
[D] none of these
Answer: 4 : (√5 – 1)
(9) If 3 × tan(x – 15) = tan(x + 15), then the value of x is
[A] 30
[B] 45
[C] 60
[D] 90
Answer: 45
(10) The value of cos 5π is
[A] 0
[B] 1
[C] -1
[D] None of these
Answer: -1
(11) The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is
[A] sin (x + y)
[B] sin² (x + y)
[C] sin³ (x + y)
[D] sin4 (x + y)
Answer: sin² (x + y)
(12) The value of (sin 7x + sin 5x) /(cos 7x + cos 5x) + (sin 9x + sin 3x) / (cos 9x + cos 3x) is
[A] tan 6x
[B] 2 tan 6x
[C] 3 tan 6x
[D] 4 tan 6x
Answer: 2 tan 6x
(13) The value of tan 20 × tan 40 × tan 80 is
[A] tan 30
[B] tan 60
[C] 2 tan 30
[D] 2 tan 60
Answer: tan 60
(14) 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
[A] 4 : (√5 – 1)
[B] 5 : 4
[C] (√5 – 1) : 4
[D] none of these
Answer: 4 : (√5 – 1)
(15) If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is
[A] a² + b² + c²
[B] a² – b² – c²
[C] a² – b² + c²
[D] a² + b² – c²
Answer: a² + b² – c²
(16) The value of cos 180° is
[A] 0
[B] 1
[C] -1
[D] infinite
Answer: -1
(17) If the sides of a triangle are 13, 7, 8 the greatest angle of the triangle is
[A] π/3
[B] π/2
[C] 2π/3
[D] 3π/2
Answer: 2π/3
(18) The general solution of √3 cos x – sin x = 1 is
[A] x = n × π + (-1)n × (π/6)
[B] x = π/3 – n × π + (-1)n × (π/6)
[C] x = π/3 + n × π + (-1)n × (π/6)
[D] x = π/3 – n × π + (π/6)
Answer: x = π/3 + n × π + (-1)n × (π/6)
(19) If tan² θ = 1 – e², then the value of sec θ + tan³ θ × cosec θ is
[A] 2 – e²
[B] (2 – e²)1/2
[C] (2 – e²)²
[D] (2 – e²)3/2
Answer: (2 – e²)3/2
(20) If the radius of the circumcircle of an isosceles triangle PQR is equal to PQ ( = PR), then the angle P is
[A] 2π/3
[B] π/3
[C] π/2
[D] π/6
Answer: 2π/3

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