SPM 2021 Add Maths Trial Paper (Selangor) – Paper 1 (Question 14)

Question 14:(a) Solve the equation 3 sin⁡ 2x = 4 cos⁡x for 0∘ ≤ x ≤ 360∘. [4 marks](b) Solve the simultaneous equations 2 cos⁡ (x – y) = √3 and 2 cos ⁡(x + y) = 1, where x and y are both acute angles. [4 marks] Solution:(a) 3sin2x=4cosx 3(2sinxcosx)=4cosx 6sinxcosx=4cosx 6sinxcosx−4cosx=0 2cosx( 3sinx−2 … Read more

SPM 2021 Add Maths Trial Paper (Selangor) – Paper 1 (Question 8)

Question 8: Diagram 3 shows a parallelogram OABC. Point P is the midpoint of AB and the  ratio of  QP → : OP → =2:5. Given that  OA → =3 i ˜ +4 j ˜  and  OC → =6 i ˜ + j ˜ Diagram 3 Express in the terms of  i ˜  and  j ˜ , (a)  OP →  (1 mark) (b)  AQ →  (3 marks) Solution:(a) OP → = OA → + AP →  =3 … Read more