Class IX

If sec α =5/4 , then tan α / (1+ tan ² α) is equal to
  1. 3/4
  2. 9/25
  3. 12/25
  4. 1/25
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
In ∆APQR,Q Is a right angle , PQ =3 and QR = 4, If ∠P = α and ∠R =𝛽 then tan𝛽 is equal to
  1. 4/3
  2. 3/4
  3. 3/5
  4. 5/3
If √3 tan 2𝛳 -1 , then the angle 𝛳 is
  1. 30⁰
  2. 60⁰
  3. 90⁰
If cos 2𝔁 = cos 60° cos 30° + sin 60° sin 30° then the value of 𝔁
  1. 15°
  2. 40°
  3. 30°
  4. None of these
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