Edexcel Core 3 formulas

Edexcel Core 3 formulas

1. Trig identities

   • 1/sinθ = cosecθ
   • sinθ/cosθ = tanθ
   • cosθ/sinθ = cotθ
   • cos²θ + sin²θ = 1
   • 1 + tan²θ = sec²θ
   • 1 + cot²θ = cosec²θ
   • sin2θ = 2sinθcosθ
   • cos2θ = cos²θ - sin²θ
     • cos2θ = 2cos²θ - 1
       • cos2θ = 1 - 2sin²θ
   • tan2θ = 2tanθ/1 - tan²θ
   • 1/cosθ = secθ
   • 1/tanθ = cotθ

2. Differentiation

   • f(x)
     • f'(x)
   • x^n
     • nx^(n-1)
   • e^x
     • e^x
   • lnx
     • 1/x
   • sinx
     • cosx
   • cosx
     • - sinx
   • a^x
     • k sec²x

3. Differntiation rules

   • Chain rule
     • y = fg(x)
       • dy/dx = g'(x) × f'(g(x))
   • Quotient rule
     • dy/dx = [(v × dy/dx) - (u × dv/dx)] / v²