Sine Rule (Leaving Cert Mathematics): Quizzes

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Sine Rule
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What type of triangles can the Sine Rule be applied to?

Any triangle

Which situation allows you to use the Sine Rule?

Two angles and one side

What is the standard formula for the Sine Rule?

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

In the Sine Rule, what is the relationship between AA and aa?

AA is the angle opposite side aa

What information is needed to find an unknown side using the Sine Rule?

Two angles and one side length

What is the rearranged Sine Rule formula for finding an unknown angle?

sin⁡Aa=sin⁡Bb=sin⁡Cc\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

What data is needed to find an unknown angle using the Sine Rule?

Two sides and a non-included angle

What does 'non-included angle' mean in the context of the Sine Rule?

An angle not between the two sides

After calculating sin⁡x\sin x, what operation finds angle xx?

Inverse sine (sin⁡−1\sin^{-1})

What does SSA represent when using the Sine Rule?

Two sides and a non-included angle

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