Edexcel C2 2005 June — Question 7

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2005
SessionJune
TopicSine and Cosine Rules

7. In the triangle \(A B C , A B = 8 \mathrm {~cm} , A C = 7 \mathrm {~cm} , \angle A B C = 0.5\) radians and \(\angle A C B = x\) radians.
  1. Use the sine rule to find the value of \(\sin x\), giving your answer to 3 decimal places. Given that there are two possible values of \(x\),
  2. find these values of \(x\), giving your answers to 2 decimal places.