Pure Mathematics Year 1 (AS) Unit Test 4: Trigonometry
1 The diagram shows with and
Figure 1
a Show that the exact value of x is (7 marks)
b Find the area of giving your answer to 2 decimal places. (3 marks)
2 The diagram shows the position of three boats, P, Q and R. Boat Q is 7 km from boat P on a bearing
of 327°. Boat R is 15 km from boat P on a bearing of 041°.
Figure 2
a Find the distance between boats Q and R to 1 decimal place. (5 marks)
b Find the 3 figure bearing of boat R from boat Q. (5 marks)
3 Find all the solutions, in the interval 0 ⩽ x ⩽ 360°, to the equation
8 – 7 cos x = 6 sin 2x , giving solutions to 1 decimal place where appropriate. (6 marks)
© Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free. 1
1 The diagram shows with and
Figure 1
a Show that the exact value of x is (7 marks)
b Find the area of giving your answer to 2 decimal places. (3 marks)
2 The diagram shows the position of three boats, P, Q and R. Boat Q is 7 km from boat P on a bearing
of 327°. Boat R is 15 km from boat P on a bearing of 041°.
Figure 2
a Find the distance between boats Q and R to 1 decimal place. (5 marks)
b Find the 3 figure bearing of boat R from boat Q. (5 marks)
3 Find all the solutions, in the interval 0 ⩽ x ⩽ 360°, to the equation
8 – 7 cos x = 6 sin 2x , giving solutions to 1 decimal place where appropriate. (6 marks)
© Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free. 1
