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Formulas

Trigonometry Formulas – IGCSE Maths

Every trigonometry formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Sine ratio

Core
sin⁡θ=OppositeHypotenuse\sin\theta = \dfrac{\text{Opposite}}{\text{Hypotenuse}}

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

Cosine ratio

Core
cos⁡θ=AdjacentHypotenuse\cos\theta = \dfrac{\text{Adjacent}}{\text{Hypotenuse}}

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

Tangent ratio

Core
tan⁡θ=OppositeAdjacent\tan\theta = \dfrac{\text{Opposite}}{\text{Adjacent}}

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

Sine rule

Extended
asin⁡A=bsin⁡B=csin⁡C\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

Cosine rule

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

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

Area = ½ab·sinC

Extended
Area=12absin⁡C\text{Area} = \tfrac{1}{2}ab\sin C

Key formula for trigonometry in IGCSE Maths.

When to Use

Use when working with trigonometry problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which trigonometry formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some trigonometry formulas must be memorised.

How do I remember trigonometry formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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