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CBSE Questions for Class 11 Engineering Maths Trigonometric Functions Quiz 15 - MCQExams.com

The solution set of the equation 4sinθ2cosθ23sinθ+3=0 in the interval (0,2π) is-

  • {3π4,7π4}
  • {π3,5π3}
  • {3π4,7π4,π3,5π3}
  • {π6,5π6,11π6}
If sinθ+cosθ=1, then the value of sin2θ is equal to:
  • 1
  • 12
  • 0
  • 1
The least value of a for which the expression f(x)=4sinx+11sinx=a2 has at least one solution on the interval (0,π/2) is 
  • 3
  • 2
  • 3
  • 1
If  x=2(sin1o+sin2o+sin3o+....+sin89o)2(cos1o+cos2o+.....+cos44o)+1, then the value of logx2 is equal 
  • 1
  • 2
  • 1/2
  • 4
Total number of solutions of sin2xsinx1=0 in [2π,2π] is equal to:
  • 2
  • 4
  • 6
  • 8
The number of solution of sin3x=cos2x in the interval (π2,π) is :
  • 1
  • 2
  • 3
  • 4
If x[0,π2], the number of solutions of the equation, sin7x+sin4x+sinx=0 is
  • 3
  • 5
  • 6
  • None
If sinB=15sin(2A+B), then tan(A+B)tanA is equal to
  • 53
  • 23
  • 32
  • 35
Find the general solution of x cos22x+cos23x=1
  • (2k+1)π10,kI
  • (π+1)π10;kI
  • (2k1)π10,kI
  • Both (A) and (C)
The solution set of equation
4sinθcosθ2cosθ23sinθ+3=0 in the interval (0,2π)
  • {3π4,7π4}
  • {π3,5π3}
  • {π6,5π6,11π6}
  • None of these
Find the principal solution of the following equation:
tanx=3
  • x=π3 and x=43π 
  • x=π2 and x=13π 
  • x=π4 and x=23π 
  • x=3 and x=43π 
If sin4x2+cos4x3=15, then
  • tan2x=23
  • sin8x8+cos8x27=1125
  • tan2x=13
  • sin8x8+cos8x27=2125
The value of (tan2π7+tan22π7+tan23π7) x (cot2π7+cot22π7+cot23π7) is
  • 105
  • 35
  • 210
  • None of these
The number of real solutions x of the equation cos2(xsin(2x))+11+x2cos2x+sec2x is
  • 0
  • 1
  • 2
  • infinite
 cosA1sinA=
  • tan(π4+A2)
  • tan(π2+A2)
  • cot(π4+A2)
  • None of these
1cosec θ+cot θ1sin θ=1sin θ1cosec θcot θ
  • True
  • False
General solution of sin3x+cos3x+32sin2x=1
  • x=nπ when n is even integer
  • x=2nπ when n is odd integer
  • x=nπ+π2 when n is odd integer
  • x=nππ2
The number of solution of secxcos5x+1=0 in the interval [0,2π] is
  • 5
  • 8
  • 10
  • 12
If 2tan2θ5secθ=1 has exactly 7 solutions in the interval [0,nπ2],nN then the least and  greatest values of n are 
  • 6,8
  • 12,14
  • 13,15
  • 15,17
The value of 3cot204cos20 = __________________________.
  • 1
  • 1
  • 0
  • none of these
If in a triangle ABC,b+c11=c+a12=a+b13, then cosA is equal to:
  • 1935
  • 57
  • 15
  • 3519
The number of real solutions of the equation sin(ex)=5x+5x is ____________________.
  • 0
  • 1
  • 2
  • infinite
The value of sin2π7+sin4π7+sin8π7 is
  • 1
  • 72
  • 334
  • 154
The value of tanθ+secθ is equal to
  • 3t
  • t
  • tt2
  • t22t
If tan2αtan2β12sin(αβ)sec2αsec2β is zero then value of sin(α+β) is (αβ)
  • 1
  • 13
  • 14
  • 12
The value of sin(α+β) is 
  • 2425
  • 1213
  • 125
  • None of these
In a ABC,acosA=4sinAsinBsinC, then value of (sinAa)2 is-
  • 14
  • 12
  • 1
  • 13
sin(4tan113)=
  • 1225
  • 2425
  • 15
  • none of these
If 0<ϕ<π2 and if x=αn=0cos2ϕ:y=αn=0sin2nϕ then 
  • x2+y2=1
  • x2y2=1
  • x+y=xy
  • 1x+1y=1
If tan2θ+cot2θ=abcos4θ+c (where defined) is satisfied for all θ, then the value of (a + b + c) is equal to (a,b,cI)
  • 6
  • 7
  • 8
  • 9
0:0:1


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