Questions asked by sankarankalyanam

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• Cos(x)=sin(x). Then the value of cos^4x + sin^4x=?
  
• If sin(a)/sin(b) = p and cos(a)/cos(b) = q then tan(b) =?
  
• [cot(a)-cosec(a)+1]/[cot(a)+cosec(a)-1]=?
  
• Prove #(cotA-cosecA+1)/(cotA+cosecA-1)=cosecA -cotA#?
  
• ABCD is a square. The diagonals AC & BD cut at A. From B a perpendicular is drawn to the bisector /_DCA and it cuts AC at P and DC at Q. Can you prove that DQ = 2PE?
  
• ABCD is a square. The diagonals AC & BD cut at E. From B a perpendicular is drawn to the bisector of /_DCEand it cuts AC atP and DC at Q. Can you prove that DQ = 2PE?