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Mensuration and Trigonometry

Quick questions on Sine and cosine rules explained: O-Level E-Maths

8short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the sine rule?
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The sine rule relates each side to the sine of its opposite angle:
What is the cosine rule?
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The cosine rule generalises Pythagoras to any triangle:
What is the area of a triangle?
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When two sides and the included angle are known, the area is:
What is sign slip in the cosine rule?
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The formula subtracts 2bccosA2bc\cos A; keep the minus sign, and note that an obtuse angle gives a negative cosine.
What are calculator in radians?
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Trigonometry here is in degrees, so set the calculator to degree mode.
What is q1?
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State which rule to use to find a side, given two angles and one side. [1 mark]
What is q2?
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Find the area of a triangle with sides 6 cm6\ \text{cm} and 9 cm9\ \text{cm} and an included angle of 3030^\circ. [2 marks]
What is q3?
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In a triangle, b=4b = 4, c=6c = 6 and the included angle A=60A = 60^\circ. Find aa, to 2 decimal places. [2 marks]

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