NCERT Class 11 Chapter 3 Maths Trigonometric Functions MCQ

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1. In a DABC, if angle C is obtuse, then

A. tan A tan B < 1

B. tanAtanB £ 1

C. tanAtanB>1

D. None of these

2. What is the value of cot (– 870°)?

A. 3

B. 1/√3

C. - √3

D. -1/√3

3. What is the value of (sin 22.1/2+ cos 22.1/2)4?)

A. 3+2√2 /2

B. 1+2√2 /2

C. 3√2 +2

D. 1

4. If sin 2A 4/5 ,= then what is the value of tanA(0≤A≤Π/4)

A. 1

B. – 1

C. 1/2

D. 2

5. The value of cos² 48° – sin²12° is

A. √5 + 1/8

B. √5 - 1/8

C. √5 + 1/5

D. √5 + 1/2/√2

6. The value of tan 20° + 2 tan 50° – tan 70° is :

A. 1

B. 0

C. tan 50°

D. none of these

7. What is the value of sin (5Π/12) ?

A. √3+1/2

B. √6+√2/4

C. √3+√2/4

D. √6+1/4

8. The solution of the equation cos2q + sin q +1 = 0, lies in the interval:

A. (-Π/4,Π/4)

B. (-Π/4,3Π/4)

C. (-3Π/4,5Π/4)

D. (5Π/4,7Π/4)

9. What is the correct sequence of the following values?
1. sin(Π/12)
2. cos (Π/12)
3. cot (Π/12)
Select the correct answer using the code given below

A. 3 > 2 > 1

B. 1 > 2 > 3

C. 1 > 3 > 2

D. 3 > 1 > 2

10. Solution of the equation tan x + tan 2x + tan x. tan 2x = 1 will be :

A. x = nΠ/3 + Π/12

B. x = nΠ/ - Π/4

C. x = nΠ/ + Π/3

D. x = nΠ/ ± Π/3

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11. The value of cos 1° cos 2° cos 3° ... cos 179° is

A. 1√2

B. 0

C. 1

D. – 1

12. The number of solution of tan x + sec x = 2cos x in [0, 2 p ) is

A. 2

B. 3

C. 0

D. 1

13. Let a,b be such that Π < α -β < 3Π D
If sinα + sinβ = - 21/65 and ,cos α + cos β = - 27/65 .then the value of α- β /2

A. -6/65

B. 3/√130

C. 6/65

D. -3/√130

14. Let A and B denote the statements
A : cos a + cos b + cos g = 0
B : sin a + sin b + sin g = 0
If cos (β – γ) + cos (γ – α) + cos (α – β) = -3/2 then :

A. A is false and B is true

B. both A and B are true

C. both A and B are false

D. A is true and B is false

15. If A = sin2 x + cos4x, then for all real x :

A. 13/16≤ A ≤ 1

B. 1 ≤ A ≤ 2

C. 3/4≤ A ≤ 13/16

D. 3/4≤ A ≤ 1

16. If α + β + γ= 2p, then :

A. tanα/2 + tanβ/2 + tanγ/2 = tanα/2.tanβ/2.tanγ/2

B. tanα/2.tanβ/2 + tanβ/2.tanγ/2 = tanγ/2.tanα/2=1

C. tanα/2 + tanβ/2+ tanγ/2 = tanα/2.tanβ/2.tanγ/2

D. None of these

17. If sin q + cosec q = 2, then sin2q + cosec2q is equal to

A. 1

B. 4

C. 2

D. None of these

18. If sin x+ sin2 x = 1, then the value of cos12 x + 3 cos 10 x + 3 cos8 x + cos6 x – 1 is equal to

A. 0

B. 1

C. –1

D. 2

19. If tanΘ 1/2 and tanφ 1/3 then the value of Θ + φ is

A. Π/6

B. Π

C. 0

D. Π/4

20. The value of cos 12° + cos 84° + cos 156° + cos 132° is

A. 1/2

B. 1

C. -1/2

D. 1/8

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21. Let cos (α + β)= 4/5 and sin (α - β) = 5/13 where 0 ,≤ α,β ≤Π/4 Then tan 2α =

A. 56/33

B. 19/12

C. 20/7

D. 25/16

22. The value of sin π/10sin 13π/10 is

A. 1/2

B. -1/2

C. -1/4

D. 0

23. The value of sin[nΠ +(-I)n Π/4 ] nεI is

A. 0

B. 1/√2

C. - 1/√2

D. None of these

24. The value of tanx/tan 3x wherever defined never lies between

A. 1/2and 2

B. 1/3 and 3

C. 1/4 and 4

D. 1/3 and 2

25. If x+1/x2 cos q , then x3+1/x3 is

A. 1/2 cos 3Θ

B. 2 cos 3Θ

C. cos 3Θ

D. 1/3 cos 3Θ