Sine Rule

Sine Rule

Secondary 3

1. The Sine Rule can be used to find an unknown angle or length depending on the given conditions.

\(\begin{align} & \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C} \\ & \\ & \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c} \\ \end{align}\)

2. Conditions to use Sine Rule:

• Non right-angled triangle

• When given \(2\) angles and \(1\) side

• When given \(2\) sides and \(1\) non-included angle

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Answer:\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)

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