The sine rule

12 questions

1. Which of the following are equivalent to \sin(\theta°)=\frac{\text{opp}}{\text{hyp}}?
2. Using \sin(A)=\frac{p}{c}, identify all the rearrangements.
3. Using \sin(C)=\frac{p}{a}, identify all the rearrangements.
4. An isosceles triangle has lengths 10 cm, 10 cm and 16 cm. The area of the isosceles triangle is ___cm^2.
5. An equilateral triangle has lengths of 10 cm. The area of the triangle, to 1 decimal place, is ___cm^2.
6. A regular hexagon has lengths of 6 cm. The area of the hexagon, to the nearest integer, is ___cm^2.
7. When do we use the sine sule?
8. Identify the correct ways to express p using the diagram.
9. Which of the following are correct versions of the sine rule?
10. Length a is opposite angle A. Work out the size of length a giving your answer to 2 decimal places.
11. Length b is opposite angle B. Work out the size of length b giving your answer to 2 decimal places.
12. Work out the size of angle \alpha giving your answer to 1 decimal place.

License: OGL