CBSE Questions for Class 10 Maths Introduction To Trigonometry Quiz 13 - MCQExams.com

If cotθ+tanθ=xcotθ+tanθ=x and secθcosθ=ysecθcosθ=y, then
  • sinθcosθ=1xsinθcosθ=1x
  • sinθtanθ=ysinθtanθ=y
  • (x2y)2/3=1(x2y)2/3=1
  • (x2y)1/3+(xy2)1/3=1(x2y)1/3+(xy2)1/3=1
If x=sin3pcos2p,y=cos3psin2p and sinp+cosp=12, then x+y is equal to
  • 7518
  • 449
  • 7918
  • 489
In the figure given
ABD=PQD=CDQ=π2. If AB=x.PQ=z and CD=y, then which one of the following is correct?
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  • 1x+1y=1z
  • 1x+1z=1y
  • 1z+1y=1x
  • 1x+1y=2z
Find the relation obtained by eliminating θ from the equation x=acosθ+bsinθ and y=asinθbcosθ
  • x2+y2=a2b2
  • x2y2=a2+b2
  • x2y2=a2b2
  • x2+y2=a2+b2
Which one of the following when simplified is not equal to one?
  • tan18×tan36×tan54×tan72
  • sin219+sin271
  • 2sin62cos28sec42cosec48
  • None of these
If 1cosxcosx(1+cosx)=sinαcosx21+cosx, then α =
  • π8
  • π4
  • Both A and B
  • None of the above
cotθ+cosecθ1cotθcosecθ+1 is equal to:
  • 1+cosθsinθ
  • sinθ1+cosθ
  • sinθ1cosθ
  • 1cosθsinθ
If cosP=17 and cosQ=1314, P and Q both are acute angle then the value of PQ will be?
  • 45o
  • 30o
  • 75o
  • 60o
sin480.sin120=
  • 1+58
  • 158
  • 5+18
  • 518
1+cosecπ4+cosecπ8+cosecπ16=
  • cotπ8
  • cotπ16
  • cotπ32
  • cosec2π16
sec8A1sec4A1=
  • 0
  • tan8Atan2A
  • cos8Acos2A
  • sin8Asin2A
tanθ1cotθ+cotθ1tanθ is equal to:
  • 1+sinθcostθ
  • sinθcosθ
  • secθcosecθ
  • 1+secθcosecθ
Suppose I1=π/20cos(πsin2x)dx;I2=π/20cos(2πsin2x)dxandI3=π/20cos(πsinx)dx then
  • I1=0
  • I2+I1=0
  • I1+I2+I3=0
  • I2=I3
1+cosecπ4+cosecπ8cosecπ16=
  • cotπ8
  • cotπ16
  • cotπ32
  • cosec2
If cos(80+Θ)=sin(k3)Θ) then k=.....
  • 81
  • 27
  • 54
  • 9
If the median of a triangle ABC passing through A is perpendicular AB then tanA + 2tanB = 
  • 1
  • 1
  • 0
  • None
An angle is increasing at a constant rate. The rate of increase of tan when the angle is π/3 is 
  • 4 times the increase of sine
  • 8 times the increase of cosine
  • 8 times the increase of sine
  • 4 times the increase of cosine
cosA1+sinA+cosA1sinA=
  • 2secA
  • 2cosA
  • 2
  • 0
The value of cot540cot360+tan200cot700=.
  • 3
  • 1
  • 0
  • 2
In triangle ABC, if sinAcosB=14 and 3tanA=tanB then cot2A is equal to 
  • 2
  • 3
  • 4
  • 5
If secθ+tanθ=x, then secθ=............
  • x2+1x
  • x2+12x
  • x212x
  • x21x
cosθsecθ+tanθ+cosθsecθtanθ=
  • 1
  • cosθ
  • sinθ
  • 2
sinAcosecA+cosAsecA =
  • 1
  • sin2A
  • 2sin2A+cos2A
  • 2secA
If tanA=21,thenthevalueofcosec.A.secAisequalto 
  • 12
  • 12
  • 22
  • 32
tan1(1+sinxcosx)=
  • π4x2
  • π4x
  • π4+x
  • π4+x2
0:0:4


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