Pure Maths - Concepts and Formulae to remember

• Quadratic Trig Identities (3)

  1 + cot^2 x = cosec^2 x
• Quadratic Trig Identities (2)

  1 + tan^2 x = sec^2 x
• Geometric Series nth term


  ar^(n-1)
• Arithmetic Series nth term

  a + (n-1)d
• Area of triangle (Trigonemtric)

  1/2*ab*SinC
• Cosine rule

  a^2 = b^2 + c^2 - 2bc cosA
• Sine rule

  a/sinA = b/sinB = c/sinC
• Trapezium Area

  1/2(a+b)h
• Cylinder Volume

  pi r^2 * h
• Cylinder Surface Area

  2πrh+2πr^2
• Circle Area

  πr^2
• Circle Circumference

  2πr
• Sin Double Angle Formulae

  Sin2x = 2sinxcosx
• Cos Double Angle Formulae

  Cos2x = cos^2x - sin^2x

  = 2cos^2x - 1

  = 1-2sin^2x
• Tan Double Angle Formulae

  Tan2x = (2tanx) / (1-tan^2x)
• Radians

  1rad = 180/pi
• Arc length

  l = rx
• Sector area

  A = 0.5r^2x