# Class 11 Mathematics Chapter 3 Trigonometric Functions MCQ Questions with Answer

Trigonometric Functions Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Trigonometric Functions class 11 MCQ which will help them all through their board test.

## Trigonometric Functions Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 3 Trigonometric Functions. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Trigonometric Functions Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Trigonometric Functions MCQ with answers given below.

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

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

Question 3 : 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)

Question 4 : 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

Question 5 : 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

A

Question 6 : 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

Question 7 : What is the value of cot (– 870°)?
(a) 3
(b) 1/√3
(c) – √3
(d) -1/√3

Question 8 : 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

Question 9 : 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

Question 10 : The value of cos2 48° – sin212° is
(a) √5 + 1/8
(b) √5 – 1/8
(c) √5 + 1/5
(d) √5 + 1/2/√2

A

Question 11 : 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

Question 12 : If sin q + cosec q = 2, then sin2q + cosec2q is equal to
(a) 1
(b) 4
(c) 2
(d) None of these

Question 13 : 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

Question 14 : 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

Question 15 : The value of cos 12° + cos 84° + cos 156° + cos 132° is
(a) 1/2
(b) 1
(c) -1/2
(d) 1/8

C

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Question 16 : The value of cos 1° cos 2° cos 3° … cos 179° is
(a) 1√2
(b) 0
(c) 1
(d) – 1

Question 17 : The number of solution of tan x + sec x = 2cos x in [0, 2 p ) is
(a) 2
(b) 3
(c) 0
(d) 1

Question 18 : 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

Question 19 : 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.

Question 20 : 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

D

Question 21 : 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

Question 22 : The value of cosΠ/3.cosΠ/7.cos2Π/7.cos4Π/7
(a) 16
(b) -1/16
(c) 11/16
(d) 16/11

Question 23 : 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

Question 24 : 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

Question 25 : 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

Question 26 : The value of sin π/10sin 13π/10 is
(a) 1/2
(b)-1/2
(c)-1/4
(d) 0

Question 27 : The value of sin[nΠ +(-I)n Π/4 ] nεI is
(a) 0
(b) 1/√2
(c) – 1/√2
(d) None of these

Question 28 : 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

Question 29 : 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

B

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