Area, Sine, and Cosine Rules (Grade 11 NSC Matric Mathematics): Quizzes

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Area, Sine, and Cosine Rules
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What info is needed to use the area rule?

Two sides and included angle

What is the included angle?

Angle between two known sides

Which formula represents the area rule?

Area = 12bcsin⁡A\frac{1}{2}bc \sin A

When should you use the sine rule?

Two angles and one side known

What does asin⁡A=bsin⁡B\frac{a}{\sin A} = \frac{b}{\sin B} show?

Ratio of side to sine opposite angle

When does the ambiguous case occur?

Two sides, non-included angle given

When should you use the cosine rule?

All three sides known

What does the cosine rule become when angle = 90°?

Pythagoras' theorem

Given two sides and included angle, which rule finds the third side?

Cosine rule

What is cos⁡A\cos A equal to in the rearranged cosine rule?

b2+c2−a22bc\frac{b^2 + c^2 - a^2}{2bc}

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