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1. If the sum of two angles is 135° and their difference is
π / 12
then the ciruclar measure of the grater angle is:
  A.  
2π / 3
  B.  
3π / 5
  C.  
5π / 12
  D.  
π / 3
     
   
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2. If 0 ≤ θ ≤
π / 2
and sec2θ tan2 = 7, then θ is:
  A.  5π/12 radian
  B.  π/3 radian
  C.  π/5 radian
  D.  π/6 radian
     
   
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3. Which of the following relations is correct for 0<θ<90°?
  A.  sinθ = sin2θ
  B.  sinθ < sin2θ
  C.  sinθ > sin2θ
  D.  sinθ = cosecθ
     
   
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4. The minimum value of 2 sin2θ + 3 cos2θ is
  A.  0
  B.  3
  C.  2
  D.  1
     
   
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5. If cosec 39° = x, the value of
1 / cosec 251°
+ sin239° + tan250° −
1 / sin251°sec239°
is
  A.  √ x2 − 1
  B.  √ 1 − x2
  C.  x2 − 1
  D.  1 − x2
     
   
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6. The value of tan 4°.tan43°. tan47°. tan86° is
  A.  2
  B.  3
  C.  1
  D.  4
     
   
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7. If tanθ + cotθ/tanθ − cotθ = 2, ( 0 ≤ θ ≤ 90°), then the value of sinθ is
  A.  
2 / √3
  B.  
√3 / 2
  C.  
1 / 2
  D.  1
     
   
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8. If cos x + cos y = 2, the value of sin x + sin y is:
  A.  0
  B.  1
  C.  2
  D.  − 1
     
   
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9. The value of tan1° tan2° tan3°........tan89° is:
  A.  1
  B.  0
  C.  √3
  D.  
1 / √3
     
   
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10. The angles of a trianghle are (x + 5)°, (2x − 3)° and (3x + 4)°. The value of x is:
  A.  30
  B.  31
  C.  2
  D.  28
     
   
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