Class IX

The altitude AD of a ∆ABC in which ∠A is opt use, is 10 cm. If BD = 10 cm and CD =10√3 cm, then ∠A is equal to
  1. 60°
  2. 30⁰
  3. 90⁰
  4. 105⁰
If sin𝛩=8/17 then the value of cos𝛩 and tan𝛩
  1. 15/17, 8/15
  2. 15/8, 8/15
  3. 15/17, 15/8
  4. None of these
If 3sec 𝛢 -2 cos 𝘉 =√3 and ∠𝘉 = 30⁰ , then the value of cos ( 𝛢 - 𝘉 ) is
  1. 0
  2. 1
  3. 2
  4. 3
If √3 tan 2𝛳 -1 , then the angle 𝛳 is
  1. 30⁰
  2. 60⁰
  3. 90⁰
If cot 𝛢 = 1/(√2-1), then sin 𝛢 . cos 𝛢 is equal to
  1. 1
  2. (√3)/2
  3. 2/(√3)
  4. (√2)/4
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