1. [Maximum mark: 5] The following diagram shows triangle ABC, with AB = 6 and AC = 8. diagram not to scale B 6 A C 8 (a) Given that cos A = alu , find the value of sin A. [3] (b) Find the area of triangle ABC. [2]2. [Maximum mark: 5] Let A and B be events such that P(A) = 0.5 , P(B) = 0.4 and P(A u B) = 0.6. Find PM | B). 3. [Maximum mark: 5] (a) Show that (2n - 1)+ (2n + 1)= 8+ 2, where ne Z. [2] (b) Hence, or otherwise, prove that the sum of the squares of any two consecutive odd integers is even. [3]