If cot(A/2) = x, then the value of x is

• Given : cot (A/2) = x
  Step 1
  cos (A/2)/sin (A/2) = x-----(1)
  Step 2
  we know that:
  (cosA)^2 = (1 + cos 2A)/2-------(2)
  (sinA)^2 = (1 – cos 2A)/2--------(3)
  USE 2 AND 3 IN (1)
  x= sqrt [ (1+cos A) / (1- cos A) ]
  Note : Here sqrt represents square root
• 7 years agoHelpfull: Yes(5) No(0)
• As per the given data,
  
  cot (A/2) = x
  
  cos (A/2)/sin (A/2) = x
  
  we know that:
  
  cos2A = (1 + cos 2A)/2
  
  sin2A = (1 – cos 2A)/2
  
  √(1+cosA2)√(1−cosA2)√(1+cosA2)√(1−cosA2) = x
  
  x = √(1+cosA)√(1−cosA)
• 7 years agoHelpfull: Yes(4) No(7)