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CBSE Questions for Class 11 Engineering Maths Trigonometric Functions Quiz 1 - MCQExams.com

The number of xϵ[0,2π] for which |2sin4x+18cos2x2cos4x+18sin2x|=1 is:
  • 4
  • 2
  • 6
  • 8
For x(0,π), the equation sinx+2sin2xsin3x=3, has 
  • infinitely many solutions
  • three solutions
  • one solution
  • no solution
If 0θ90 and 3tanθsecθ=1, then θ has the value
  • 30
  • 45
  • 60
  • 90
The of value of sin60cos30+cos60sin30 is equal to
  • sin900
  • sin450
  • sin1800
  • sin300
Which one of the following relations is true ?
  • cos2θsin2θ=1
  • cosec2θsec2θ=1
  • cot2θtan2θ=1
  • sec2θtan2θ=1
Which is true for all values of θ?
  • sin2θcos2θ=1
  • cosec2θcot2θ=1
  • cosec2θcos2θ=1
  • sec2θsin2θ=1
If 0θ90 and 2tanθsecθ=0, then the value of (2sinθ+2tanθ) is -
  • 2+2
  • 22+23
  • 3
  • 2
The value of 1+cot2A is
  • cos2A
  • sec2A
  • tan2A
  • cosec2A
sin2x+cos2x=
  • 0
  • 2
  • 1
  • -1
The solution of equation cos2θ+sinθ+1=0 lies in the interval
  • (π4,π4)
  • (π4,3π4)
  • (3π4,5π4)
  • (5π4,7π4)
The value of 5tan2θ5sec2θ is :
  • 1
  • 5
  • 0
  • 5
sinA1+cosA+sinA1cosA is equal to :
  • sinA
  • 2cosecA
  • cosA
  • None of these
The minimum value of sec2α+cos2α is 
  • 1
  • 2
  • 0
  • 1
tanθsecθ1+tanθsecθ+1 is equal to
  • cosecθ
  • 2cosecθ
  • secθ
  • 2secθ
If sinθ+cosθ=p and tanθ+cotθ=q, then q(p21)=
  • 12
  • 2
  • 1
  • 3
1secθtanθ is equal to
  • secθtanθ
  • secθtanθ
  • secθ+tanθ
  • secθ
If tanθ+cotθ=2, then the value of tan2θ+cot2θ is __________?
  • 4
  • 2
  • 32
  • 5
cos4Asin4A is equal to
  • sin2A
  • sin2A
  • cos2A
  • cos2A
What is tan(360oA)?
  • tanA
  • tanA
  • cotA
  • cotA
Value of \theta (0 < \theta < 360^o ) which satisfy the equation \text{cosec }\theta +2 =0 is:
  • 210^o, 100^o
  • 240^o, 300^o
  • 210^o, 240^o
  • 210^o, 330^o
If {\tan ^2}\theta  = 2\,{\tan ^2}\phi  + 1, then the value of \cos \,2\theta  + {\sin ^2}\phi \,is is
  • 1
  • 2
  • -1
  • 0
If (1 - \cos A)/2 = x, then the value of x is
  • co{s^2}(A/2)
  • \sqrt {\sin (A/2)}
  • \sqrt {\cos (A/2)}
  • {\sin ^2}(A/2)
The solution set of the equation 4\sin \theta \cos \theta  - 2\cos \theta  - 2\sqrt 3 \sin \theta  + \sqrt 3  = 0 in the interval (0,2\pi ) is-
  • \left\{ {\frac{{3\pi }}{4},\frac{{7\pi }}{4}} \right\}
  • \left\{ {\frac{\pi }{3},\frac{{5\pi }}{3}} \right\}
  • \left\{ {\frac{\pi }{3},\frac{{5\pi }}{3},\frac{{3\pi }}{4},\frac{{7\pi }}{4}} \right\}
  • \left\{ {\frac{\pi }{6},\frac{{5\pi }}{6},\frac{{11\pi }}{6}} \right\}
The solution of 
\frac{{3\sin \theta  - \sin 3\theta }}{{1 + \cos \theta }} + \frac{{3\cos \theta  + \cos 3\theta }}{{1 - \sin \theta }} = 4\sqrt 2 \cos \left( {\theta  + \frac{\pi }{4}} \right)
  • n\pi
  • n\pi + \frac{\pi }{{12}}
  • n\pi \pm \frac{\pi }{2}
  • 2n\pi
A minimum value of \sin{x}\cos{2x} is-
  • 1
  • -1
  • -2/3\sqrt{6}
  • None of these
If \tan\theta +\tan 4\theta +\tan 7\theta =\tan \theta \tan 4\theta \tan 7\theta, then the general solution is?
  • \theta =\dfrac{n\pi}{4}
  • \theta =\dfrac{n\pi}{12}
  • \theta =\dfrac{n\pi}{6}
  • None of these
If \cot\left( {a + \beta } \right) = 0, then \sin\left( {a + 2\beta } \right) can be 
  • -\sin a
  • \sin \beta
  • \cos a
  • \cos \beta
The solutions of the equation \sin x+3\sin 2x+\sin 3x=\cos x+3\cos 2x+\cos 3x in the interval 0\le x\le 2\pi, are 
  • \dfrac{\pi}{8}, \dfrac{5\pi}{8}, \dfrac{2\pi}{3}
  • \dfrac{\pi}{8}, \dfrac{5\pi}{8}, \dfrac{9\pi}{8}, \dfrac{13\pi}{8}
  • \dfrac{4\pi}{3}, \dfrac{9\pi}{3}, \dfrac{2\pi}{3}, \dfrac{13\pi}{8}
  • \dfrac{\pi}{8}, \dfrac{5\pi}{8}, \dfrac{9\pi}{3}, \dfrac{4\pi}{3}
If X\sin { \left( { 90 }^{ \circ  }-\theta  \right) \cot { \left( { 90 }^{ \circ  }-\theta  \right)  }  } =\cos { \left( { 9 }0^{ \circ  }-\theta  \right)  } , then x =
  • 0
  • 1
  • -1
  • 2
Select write the most appropriate answer from the given alternative in each following questions:-
The principal solution of tan x=-\sqrt{3} are: 
  • \frac{-\pi }{3}and \frac{2\pi }{3}
  • \frac{\pi }{3}and \frac{5\pi }{3}
  • \frac{2\pi }{3}and \frac{5\pi }{3}
  • \frac{2\pi }{3}and \frac{4\pi }{3}
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