Objective Questions On Class 11 Maths Chapter 3 Trigonometric Functions

(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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