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S5 Subsidiary Mathematics Revision Week II 2012 1a. Given that cos x 0.2 , where x is acute, find: i) sin x ii) tan x b. Use the matrix method to solve the following simultaneous equations 4x y 7 6 x 5 y 17 2a. Simplify 5 5 2 10 125 b. For the curve y x 2 3 find the equation of the tangent at the point whose x – coordinate is a . 3a. Simplify 3 7 3 7 to the form p q r . Hence state the values of p, q and r. b. Solve for x : 4 23 x 1 18 x 4a. Solve the equations: 4 x 2 x 1 15 0 b. The point 1 , 20 lies on the curve y 2 x 2 18. Find the gradient at this point and the equation of the tangent. 5a. Given that 3x 2 2 x 5 0 has roots α and β, find the values of: (i) 1 1 + 1 1 b. If x 1 and x 2 are factors of x 3 ax 2 5 x b . Find the values of a and b and hence using long division find the remaining factor. ™ Mathematics Dept GHS 2012