MathsGradeUp logoMathsGradeUp
MathematicsGCSE & IGCSEPythagoras & Trigonometry

Cosine rule formula

The cosine rule formula as it is used in GCSE Mathematics, taken from the GCSE Mathematics formula sheet.

The formula

a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 - 2bc\cos A

How to use it in the exam

  • Write the formula down before substituting — most mark schemes award a method mark for a correct, clearly quoted formula.
  • Check every quantity is in consistent units before you substitute, then substitute in one step so the working stays easy to follow.
  • Show the rearrangement rather than jumping to the answer, and give the final value to the accuracy the question asks for.

Related pythagoras & trigonometry formulas

Pythagoras' theorem
a2+b2=c2a^2 + b^2 = c^2
Right-angled trig (SOH CAH TOA)
sin⁡θ=OH,cos⁡θ=AH,tan⁡θ=OA\sin\theta = \dfrac{O}{H}, \quad \cos\theta = \dfrac{A}{H}, \quad \tan\theta = \dfrac{O}{A}
Sine rule
asin⁡A=bsin⁡B=csin⁡C\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}
Area of a triangle
A=12absin⁡CA = \tfrac{1}{2}ab\sin C

Practise mathematics on MathsGradeUp

Go from formula to full marks with exam-board question banks, revision notes and step-by-step feedback from Study Coach.

GCSE Mathematics formula sheetPractice questions Create a free account

Related on MathsGradeUp

Keep studying

Practise it