Class IX

In βˆ†APQR,Q Is a right angle , PQ =3 and QR = 4, If ∠P = Ξ± and ∠R =𝛽 then tan𝛽 is equal to
  1. 4/3
  2. 3/4
  3. 3/5
  4. 5/3
If tan 𝛒=1 and tan π˜‰ = √3 then cos 𝛒. cos π˜‰ - sin 𝛒 . sin π˜‰ is equal to
  1. 1
  2. (2√2) / 3
  3. (1+√3) / 2√2
  4. (1-√3) / 2√2
If the ractangle ABCD , AB = 15 cm and ∠BAC = 60⁰ then the length of side BC is equal to
  1. 15 cm
  2. 15√2 cm
  3. 15√3 cm
  4. 15√5 cm
If cos 2𝔁 = cos 60Β° cos 30Β° + sin 60Β° sin 30Β° then the value of 𝔁
  1. 15Β°
  2. 40Β°
  3. 30Β°
  4. None of these
If cot 𝛒 = 1/(√2-1), then sin 𝛒 . cos 𝛒 is equal to
  1. 1
  2. (√3)/2
  3. 2/(√3)
  4. (√2)/4
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