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CBSE Questions for Class 11 Engineering Maths Trigonometric Functions Quiz 2 - MCQExams.com

The value of sec2Atan2Btan2Asec2B is
  • tan2Btan2A
  • sec2B+sec2A
  • tan2Bsec2A
  • sec2Btan2A
Which of the following is the principal value of cos1(12)?
  • π3
  • π6
  • 2π3
  • 3π3
If cosx=b, then for what b do the roots of the equation form an AP ?
  • 1
  • 12
  • 32
  • None of these
 The principle solutions of sinθ=12 are
  • π/4
  • 11π/6
  • π/3
  • 7π6
sinA(1+tanA)+cosA(1+cotA)=secA+cosecA.
  • True
  • False
cos(90A)sin(90A)tan(90A)=
  • sin2A
  • cos2A
  • sinA
  • 1
The principle solution of the Cosθ=12 is 
  • 2π/3
  • π/6
  • 4π/3
  • 7π6
sec2A+csc2A=sec2Acsc2A
  • True
  • False
What is the value of tanAsinAsin3A?
  • secA1cosA
  • secA1+cos2A
  • secA1+cosA
  • None of these
The principle solution of equation cotx=3 is 
  • π3
  • 2π3
  • π6
  • 5π6
The range of the function f(x)=(cos2x+4sec2x) is
  • [4,)
  • [0,)
  • [5,)
  • (0,)
1c=?
  • 5602722
  • 5701622
  • 5501832
  • 5702632
If tan θ=15 and θ lies in the first quadrant, the value of cosθ is
  • 16
  • 56
  • 16
  •  56
If 00<x<450, then consider the following statements :

Assertion (A):

11+sin2x11+sec2x11+cos2x11+cosec2x

Reason (R) : sinxcosx

of these statements :
  • Both A and R are true and R is the correct explanation of A
  • Both A and R are true, but R is not the correct explanation of A.
  • A is true, but R is false.
  • A is false, but R is true.
1) Principal value of cosθ=1 is π
2) Principal value of sinθ=0 is π
Which of the above statement is correct?
  • Only I
  • Only II
  • Both I and II
  • Neither I or II
Let n be a positive integer such that
sin(π2n)+cos(π2n)=n2 

  • <4
  • n>8
  • 4n<8
  • 6n8

If p1,p2,p3 are the principal values of following trigonometric equations
1)sinθ=12
2)cosθ=32
3)tanθ=32
  • p1<p2<p3
  • p1<p3<p2
  • p3<p1<p2
  • p2<p3<p1

The number of solutions of the equation 8tan2θ+9=6secθ in the interval (π2,π2)

  • Two
  • Four
  • Zero
  • None of these
lf α and β are two different solutions lying between π2 and π2 of the equation 2tanθ+Secθ=2 then tanα+tanβ 
  • 0
  • 1
  • 4/3
  • 8/3
For all values of θ,cosθ.cosec θsec2θ1 is
  • 1
  • cos2θ
  • cotθ
  • tanθ
If secθtanθ=k, then the value of secθ+tanθ is
  • (1k)
  • (1+k)
  • 1k
  • 11k
Which of the following is/are FALSE   θR?
  • sinθ=1cosθ
  • secθtanθ=1secθ+tanθ
  • tan2θsin2θ=tan2θsin2θ
  • sinπ3=cosπ6
If tanθ=34 and 0<θ,<900, then the value of sinθcosθ is
  • 15
  • 95
  • 1225
  • 2512
34sin2θcos2θ is equal to
  • 3cot2θ
  • 3+cot2θ
  • 3tan2θ
  • 3+tan2θ
The value of (cosθ+sinθ)2+(cosθsinθ)2 is
  • 0
  • 1
  • 2
  • 3
tan2θ(1+secθ)2 is equal to
  • (1cosθ1+cosθ)
  • (1+cosθ1cosθ)
  • (cosθ1cosθ+1)
  • (cosθ+1cosθ1)
sec2θ+cosec2θ is equal to
  • sec2θ.cot2θ
  • sec2θ.tan2θ
  • cosec2θ.cot2θ
  • sec2θ.cosec2θ
The expression sin6θ+sin4θcos2θsin2θcos4θcos6θ can be reduced to
  • sin2θ+cos2θ
  • sin3θcos3θ
  • sin4θ+cos4θ
  • sin2θcos2θ
Which of the following statements is not correct? 
  • cos4θsin4θcos2θsin2θ
  • 1+tan2θ=sec2θ
  • sin400+cos500=2sin400
  • sin2θ+cos2θ=2
The value of cos4θsin4θ+2sin2θ is equal to 
  • 0
  • sin2θ
  • cos2θ
  • 1
0:0:1


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