Trigonometry Quiz

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Question #3-1 Paper 2 Difficulty: Medium

QB3_1In the following diagram, a circle has radius r (metres), and angle $latex \theta$ (radians), and centre O.
The area of the shaded sector is $latex \frac{6\pi }{5}$, and the length of the sector AB is $latex \frac{3\pi }{5}$.

 

a) Find the value of r.

b) Find the value of $latex \theta $.

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Question #3-2 Paper 2 Difficulty: Medium

In a triangle PQR, side $latex PQ=3 \; cm$, and side $latex PR=2 \; cm$. The area of the triangle PQR is $latex 2\; cm^{2}$.

State two possible values for angle $latex Q\hat{P}R$ (in degrees).

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Question #3-3 Paper 1 Difficulty: Medium

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Question #3-4 Paper 1 Difficulty: Medium

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Question #3-5 Paper 1 Difficulty: Medium

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Question #3-6 Paper 1 Difficulty: Easy

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Question #3-7 Paper 1 Difficulty: Easy

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Question #3-8 Paper 1 Difficulty: Easy

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Question #3-9 Paper 2 Difficulty: Medium

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Question #3-10 Paper 1 Difficulty: Medium

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