Questions asked by Aayush Karna

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• If #sinA + sin^2A=1# and #a cos^12A+ b cos^8A + c cos^6A-1 = 0# then find #(b + c)/(a + b) #?
  
• Prove the trigonometric identity ?
  
• In a right triangle ABC with angle A equal to 90o, find angle B and C so that sin(B) = cos(B). ?
  
• Construct a line that divides a convex quadrilateral surface in two parts with equal areas. ?
  
• Prove #sqrt( sec^2theta+cosec^2theta)=tantheta+cottheta # ?
  
• Prove the trigonometric identity?
  
• Prove the trigonometric identity ?
  
• How to prove #(sintheta-costheta+1)/(sintheta+costheta-1)=sectheta+Tantheta# ?
  
• How to prove #(costheta+cosbeta)/(sintheta-sinbeta)=(sintheta+sinbeta)/(costheta-cosbeta# ?
  
• How to prove the trigonometric identity?
  
• How to prove the trigonometric identity?
  
• How to prove: #sin^6theta-cos^6theta=(2sin^2theta-1)(cos^2theta+sin^4theta)# ?
  
• How to prove ?
  
• How to prove #cos^2(pi/8)+cos^2 ((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)=2# ?
  
• How to prove #sin^2(-pi/8)=sin^2((7pi)/8)# ?
  
• A shopkeeper made a loss of Rs.20 when he sold a bag at 20% discount. If he had sold at 10% discount, he would have gained 8%. Find the marked price of the bag ?
  
• If #8sintheta=4+costheta#, what is the value of #tantheta# ?
  
• If #tantheta + sectheta = x#, show that #sintheta=(x^2-1)/(x^2+1)# ?
  
• How to prove?
  
• Mrs.Sharma sold a jewellery at a loss of 5%. If he had sold it at Rs.5,200 more, she would have gained 8%. Find the cost price of the jewellery ?
  
• How to prove the trigonometric identity?
  
• Write any three differences between virus and fungi?