equations mayhs

• Straight line equation formula


  y-y1 = m(x-x1)
• Perpendicular straight lines


  m1 x m2 = -1
• Log(a)b=c


  a^c=b
• Log(10)x + Log(10)y =


  Log(10)xy
• Log(10)x - Log(10)y =


  Log(10)x/y
• Displacement dy/dx =


  Velocity
• Velocity dy/dx =


  Acceleration
• Cos^2A + Sin^2A=


  1
• 1 + Tan^2A =


  Sec^2A
• 1 + Cot^2A =

  Cosec^2A
• 2SinAcosA =


  Sin2A
• Cos^2A - Sin^2A =

  Cos2A
• (2tanA)/(1-tan^2A) =


  Tan2A
• Arc Length (radians) =


  rθ
• Sector Area (radians) =

  1/2 r^2 θ
• x^n dy/dx =


  nx^(n-1)
• Sinkx dy/dx =


  kCoskx
• Coskx dy/dx =


  -kSinkx
• e^(kx) dy/dx =


  ke^(kx)
• ∫Coskx =


  1/k Sinkx +c
• ∫Sinkx =


  -1/k Coskx +c
• ∫e^(kx) =


  1/k e^(kx) +c
• ∫1/x =


  ln |x| +c
• Weight =


  Mass x g
• Force =


  Mass x Acceleration
• Midpoint of a line


  (X1+X2)/2 , (y1+y2)/2
• Length of a straight line

  √(x2-x1)^2+(y2-y1)^2
• Gradient of a line

  Change in y/Change in x
• Equation of a circle


  (x-a)^2 + (y-b)^2 = r^2 , Centre (a,b) & Radius is r
• Area of a triangle

  1/2 base x height
• Cos(90-θ)=


  Sinθ
• Sin(90-θ)=


  Cosθ
• Sinθ/Cosθ=


  Tanθ
• Sine Rule


  SinA/a = SinB/b
• Cosine Rule


  a^2 = b^2 + c^2 -2bcCosA

  OR

  CosA = (b^2 + c^2 -a^2)/2bc
• Area of a triangle

  1/2abSinC
• Calculating sin values


  180-1st value, then +/- 360
• Calculating cos values


  360-1st value, then +/- 360
• Calculating tan values


  +/- 180
• Converting from component form to magnitude-direction form (vectors)


  Magnitude= √i^2 + j^2

  Direction= Tanθ= j/i