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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) 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
Answer: -3 / 5
(2) 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)
Answer: (-√2 / 2 , -√2 / 2)
(3) What is the amplitude of f(x) = sin(x) + cos(x)?
[A] √2
[B] √2 / 2
[C] 2 √2
[D] 2
Answer: √2
(4) What is the period of f(x) = 0.5 sin(x) cos(x)?
[A] 0.5
[B] 2 π
[C] π / 2
[D] π
Answer: π / 2
(5) What is the amplitude of f(x) = 4 sin(x) cos(x)?
[A] 4
[B] 3
[C] 2
[D] 1
Answer: 2
(6) 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]
Answer: [-4 , 8]
(7) 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
Answer: π / 6
(8) 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]
Answer: [-4 , 4]
(9) 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)
Answer: f(x) = 2 sin(0.1 x)
(10) 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
Answer: 2 π / 5
(11) If y = cos x, then what is the maximum value of y?
[A] 1
[B] -1
[C] π
[D] 2π
Answer: 1
(12) The value of (sin7x + sin5x) /(cos7x + cos5x) + (sin9x + sin3x) / (cos9x + cos3x) is
[A] tan6x
[B] tan6x
[C] tan6x
[D] tan6x
Answer: tan6x
(13) If a*cos x + b*cos x = c, then the value of (a*sin x - b*cos x)2 is
[A] a2 + b2 + c2
[B] a2 - b2 - c2
[C] a2 - b2 + c2
[D] a2 + b2 - c2
Answer: a2 + b2 - c2
(14) The value of cos 4A - cos 4B is
[A] (cos A - cos B)*(cos A + cos B)*(cos A - sin B)*(cos A + sin B)
[B] (cos A - cos B)*(cos A + cos B)*(cos A - sin B)*(cos A + sin B)
[C] (cos A - cos B)*(cos A + cos B)*(cos A - sin B)*(cos A + sin B)
[D] (cos A - cos B)*(cos A + cos B)*(cos A - sin B)*(cos A + sin B)
Answer: (cos A - cos B)*(cos A + cos B)*(cos A - sin B)*(cos A + sin B)
(15) The value of cos(π/7) * cos(2π/7) * cos(4π/7) is
[A] -1/2
[B] -1/4
[C] -1/6
[D] -1/8
Answer: -1/8
(16) tan2 θ = 1 - a2 then the value of sec θ + tan3 θ * cosec θ is
[A] (2 - a2 )
[B] (2 - a2 )1/2
[C] (2 - a2 )3/2
[D] None of these
Answer: (2 - a2 )3/2
(17) 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
(18) If tan(A + B) = x and tan(A - B) = y then the value of tan 2A is
[A] (x + y)/(1 - xy)
[B] (x - y)/(1 + xy)
[C] (x + y)/2xy
[D] None of these
Answer: (x + y)/(1 - xy)
(19) If tan(A + B) = x and tan(A - B) = y then the value of tan 2B is
[A] (x + y)/(1 - xy)
[B] (x - y)/(1 + xy)
[C] (x + y)/2xy
[D] (x - y)/2xy
Answer: (x - y)/(1 + xy)
(20) 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

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