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1. Show that tan3 x sec x cosec3 x = 1 + tan x (3 marks) 2. A curve C has equation 7 y =

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1. Show that tan3 x sec x cosec3 x = 1 + tan x (3 marks) 2. A curve C has equation 7 y = 2x3 2x2 + 2x + 1 Work out the coordinates of stationary points of C & determine their nature. (8 marks) 3. OPQ is a sector of a circle. OB = 4cm, BQ = 2cm and arc AB = 3cm. Work out the perimeter & area of the shaded region. P A O B Q (5 marks) 11

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