Objective Questions On Class 11 Maths Chapter 3 Trigonometric Functions

Questions

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

View Answer

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)

View Answer

Answer:(-√2 / 2 , -√2 / 2)

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3 What is the amplitude of f(x) = sin(x) + cos(x)?

A √2

B √2 / 2

C 2 √2

D 2

View Answer

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

View Answer

Answer:π / 2

5 What is the amplitude of f(x) = 4 sin(x) cos(x)?

A 4

B 3

C 2

D 1

View Answer

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]

View Answer

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

View Answer

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]

View Answer

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)

View Answer

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

View Answer

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

View Answer

Answer:1

12 The value of (sin7x + sin5x) /(cos7x + cos5x) + (sin9x + sin3x) / (cos9x + cos3x) is

A tan6x

B tan6x

C tan6x

D tan6x

View Answer

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

View Answer

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)

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

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

View Answer

Answer:2π/3

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