Class 11 Mathematics Trigonometric Functions MCQs

Question : 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

Answer :  A
 

Question : What is the value of cot (– 870°)?     
(a) 3
(b) 1/√3
(c) - √3
(d) -1/√3

Answer :  A
 

Question : 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

Answer :  A
 

Question : 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

Answer :  C
 

Question : The value of cos² 48° – sin²12° is
(a) √5 + 1/8
(b) √5 - 1/8
(c) √5 + 1/5
(d) √5 + 1/2/√2

Answer :  A
 

Question : The value of tan 20° + 2 tan 50° – tan 70° is :
(a) 1
(b) 0
(c) tan 50°
(d) none of these

Answer :  B 
 

Question : What is the value of sin (5Π/12) ?    
(a) √3+1/2
(b)√6+√2/4
(c) √3+√2/4
(d) √6+1/4

Answer :  B
 

Question : 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)

Answer :  D
 

Question : 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

Answer :  A
 

Question : 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

Answer :  A
 

Question : The value of cos 1° cos 2° cos 3° ... cos 179° is
(a) 1√2
(b) 0
(c) 1
(d) – 1

Answer :  B

Question : The number of solution of tan x + sec x = 2cos x in [0, 2 p ) is   
(a) 2 
(b) 3
(c) 0
(d) 1

Answer :  B

 
Question : 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

Answer :  D

Question : 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.

Answer :  A 
 

Question : 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

Answer :  D
 

Question : 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

Answer :  A
 

Question : If sin q + cosec q = 2, then sin2q + cosec2q is equal to
(a) 1
(b) 4
(c) 2
(d) None of these

Answer :  C
 

Question : 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

Answer :  A

Question : 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

Answer :  D
 

Question : The value of cos 12° + cos 84° + cos 156° + cos 132° is
(a) 1/2
(b) 1
(c) -1/2
(d) 1/8

Answer :  C
 

Question : 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

Answer :  A
 

Question : The value of sin π/10sin 13π/10 is
(a) 1/2
(b)-1/2
(c)-1/4
(d) 0

Answer :  C 
 

Question : The value of sin[nΠ +(-I)n Π/4 ] nεI is    
(a) 0
(b) 1/√2
(c) - 1/√2
(d) None of these

Answer :  B
 

Question : 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

Answer :  B 
 

Question : 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

Answer :  B
 

Question : The number of values of x in the interval [0,3p] satisfying the equation 2sin2 x + 5sin x - 3 = 0 is
(a) 4
(b) 6
(c) 1
(d) 2

Answer :  A 
 

Question : The value of cosΠ/3.cosΠ/7.cos2Π/7.cos4Π/7
(a) 16
(b) -1/16
(c) 11/16
(d) 16/11

Answer :  B
 

Question : If tan x = b/a ,then the value of a cos 2x + b sin 2x is:
(a) a
(b) a – b
(c) a + b
(d) b

Answer :  C
 

Question : If 0 < x < p and 1 cosx + sinx =1/2 , then tan x
(a) (1-√7) /4
(b) (4-√7) /3
(c) (4+√7) /3
(d)  (1+ √7)/4

Answer :  C