Using the sine and cosine rules together (AQA GCSE Further Maths): Quizzes

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Using the sine and cosine rules together
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Which rule should you use when given all three side lengths of a triangle?

Cosine rule

You have two sides and the included angle. Which rule finds the third side?

Cosine rule

You have two angles and one side. Which rule should you use first?

Sine rule

How many independent pieces of information do you need to solve any triangle?

Three

Why aren't three angles alone sufficient to solve a triangle?

They aren't independent measurements

Which formula represents the cosine rule for finding a side?

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

What is the correct form of the sine rule?

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

What is the area formula for a triangle using two sides and an angle?

12absin⁡C\frac{1}{2}ab \sin C

In which direction are bearings measured?

Clockwise from North

When using sine rule, which scenario might give two possible solutions?

Two sides, non-included angle

What should you do with intermediate values during multi-step calculations?

Keep them in your calculator

What is the first step recommended for any triangle problem?

Draw a diagram

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