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CBSE Questions for Class 11 Engineering Maths Trigonometric Functions Quiz 3 - MCQExams.com

(cosecθsinθ)(secθcosθ)(tanθ+cotθ) simplifies to
  • 0
  • 1
  • tanθ
  • cotθ
cosA1tanA+sinA1cotAis equal to
  • sinAcosA
  • sinA+cosA
  • 1cosA
  • 1sinA
(cosA+sinA)2(cosAsinA)2 is equal to
  • 1
  • 2
  • 0
  • None of the above
If sinβ=1213,then the value of 13sinβ+5secβ5tanβ+6cscβ
  • 0
  • 1
  • 5037
  • 372
Th value of (sinθ+cscθ)2+(cosθ+secθ)2(tan2θ+cot2θ) is

  • 1
  • 2
  • 6
  • 7
If tanα=22, then the value of tanαsin3αcosα+sinα.cosα is
  • 0
  • 2
  • 22
  • 1
(1sin2θ)(1+tan2θ) is equal to
  • 1
  • 1.5
  • 2
  • 2.5
If cosA = 2 sin A, find the value of  cosecA.

  • 1
  • +5
  • 12
  • +3
The value of sin6θ+cos6θ+3sin2θ.cos2θ is

  • 0
  • 1
  • 1
  • 2
If x,y[0,2π], then total number of ordered pairs (x,y) satisfying the equation sinx.cosy=1 is equal to
  • 1
  • 3
  • 5
  • 7
The set of angles between 0 & 2π satisfying the equation 4cos2θ22cosθ1=0 is-
  • {π12,5π12,19π12,23π12}
  • {π12,7π12,17π12,23π12}
  • {5π12,13π12,19π12}
  • {π12,7π12,19π12,23π12}
Number of values of θϵ[0,2π] satisfying the equation cotxcosx=1cotx.cosx
  • 1
  • 2
  • 3
  • 4
If α+β=900 and α=2β, then cos2α+sin2β equals to
  • 12
  • 0
  • 1
  • 2
Which of the following relations is/are an identity?
  • sinx2=2sinx22cosx22
  • sinx=2tanx21+tan2x2
  • logxy=log|x|+log|y|
  • 1sin2x=cosx
Total number of solution of sinx=x+1xxϵ(0,2π), is equal to-
  • 1
  • 0
  • 3
  • 2
The number of solutions of the equation x3+2x2+5x+2cosx=0 in [0,2π] is:
  • 0
  • 1
  • 2
  • 3
For each integer n>1, let S(n) denote the number of solution of the equation sinx=sinnx on the interval [0,π] Find the value of S(2)+S(3)+S(4).
  • 12
  • 11
  • 15
  • 10
If 0x2π0y2π and sinx+siny=2 then the value of x+y is
  • π
  • π2
  • 3π
  • none of these
The smallest positive integral value of p for which the equation cos(psinx)=sin(pcosx) in x has a solution in [0,2π] is
  • 2
  • 1
  • 3
  • none of these
The number of solutions of equation 5secθ13=12tanθ in [0,2π] is
  • 2
  • 1
  • 4
  • 0
If 3sin2θ+2sin2ϕ=0 and 3sin2θ+2sin2ϕ=00<θ<π2 and 0<ϕ<π2, then the value of θ+2ϕ
  • π2
  • π4
  • 0
  • none of these
If sinθ=a for exactly one value of θ[0,7π3] then the value of a is
  • 32
  • 1
  • 0
  • -1
if x,yϵ[0,2π] and sinx+siny=2 then the value of x+y is
  • π
  • π2
  • 3π
  • None of these
The number of solutions of the equation cos6x+tan2x+cos6xtan2x=1 in the interval [0,2π] is
  • 4
  • 5
  • 6
  • 7
The number of solutions of the equation tanx+secx=2cosx lying in the interval [0,2π] is
  • 0
  • 1
  • 2
  • 3
The number of real solutions of the equation cos7x+sin5x=1,0x2π, is
  • 1
  • 2
  • 3
  • infinite
The total number of solutions of cosx=1sin2x in [0,2π] is equal to
  • 2
  • 3
  • 5
  • None of these
If sin2θ=cos3θ. The number of elements for the set θ in 0θ2π.
  • 2
  • 5
  • 6
  • 12
Find the value of x for which f(x)=sinxcosx is defined, xϵ[0,2π]

  • xϵ[π8,5π8]
  • xϵ[π4,3π4]
  • xϵ[π6,5π6]
  • xϵ[π4,5π4]
  • if both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1
  • if both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT 1
  • if STATEMENT 1 is TRUE and STATEMENT 2 is FALSE
  • if STATEMENT 1 is FALSE and STATEMENT 2 is TRUE
0:0:1


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