Page 07 MARKS 8. (a) Express 5cos x − 2sin x in the form k cos (x + a), where k > 0 and 0 < a < 2π. (b) The diagram shows a sketch of part of the graph of y = 10 + 5cos x − 2sin x and the line with equation 12 y = . The line cuts the curve at the points P and Q. y x P Q O y = 10 + 5cos x − 2sin x y = 12 Find the x-coordinates of P and Q. 9. For a function f , defined on a suitable domain, it is known that: • ( ) 2 1 x f x x + = ′ • ( ) 9 40 f = Express ( ) f x in terms of x. [Turn over for next question 4 4 4
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This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
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