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41. The equation cos2θ = (x + y)2/4xy is only possible when
  A.   x = − y
  B.  x>y
  C.  x=y
  D.  x
     
   
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42. The value of cosec2 18° − 1/cot272° is
  A.  1/√3
  B.  √2/3
  C.  1/2
  D.  1
     
   
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43. If α + β = 90°, then the value of (1 − sin2α)(1 − cos2α) × (1 + cot2β)(1 + tan2β) is
  A.  1
  B.  −1
  C.  0
  D.  2
     
   
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44. If 5 tanθ = 4, then 5sinθ − 3 cosθ/5sinθ + 2cosθ is equal to
  A.  2/3
  B.  1/4
  C.  1/6
  D.  1/3
     
   
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45. 2 cosec223°cot267° − sin223° − sin267° − cot267° is equal to
  A.  1
  B.  sec223°
  C.  tan223°
  D.  0
     
   
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46. The equation cos2θ = (x + y)2/4xy is possilbe when
  A.  x = − y
  B.  x > y
  C.  x = y
  D.  x < y
     
   
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47. The value of cosec2 18° − 1/cot272° is
  A.  1/√3
  B.  √2/3
  C.  1/2
  D.  1
     
   
View Answer

48. If α + &beta = 90°, then the valueo of (1 − sin2α)(1 − cos2&alpha) × (1 + cot2β)(1 + tan2β) is:
  A.  1
  B.  −1
  C.  0
  D.  2
     
   
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49. 2sin68°/cos22° − 2cot15°/5 tan75° − 3tan45°.tan20°.tan40°.tan50°. tan70°/5, is equal to
  A.  −1
  B.  0
  C.  1
  D.  2
     
   
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50. If tan2α = 1 + 2 tan tan2β (&alpha, &beta are positive acute angloes), then √2 cosα − cos&beta is equal to:
  A.  0
  B.  √2
  C.  1
  D.  −1
     
   
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