Edexcel C2 — Question 8

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

8. (i) Solve, for \(0 ^ { \circ } < x < 180 ^ { \circ }\), the equation $$\sin \left( 2 x + 50 ^ { \circ } \right) = 0.6$$ giving your answers to 1 decimal place.
(ii) In the triangle \(A B C , A C = 18 \mathrm {~cm} , \angle A B C = 60 ^ { \circ }\) and \(\sin A = \frac { 1 } { 3 }\).
(a Use the sine rule to show that \(B C = 4 \sqrt { } 3\).
(b) Find the exact value of \(\cos A\).