2017

In Δ PQR, QR = 3 units, PR = x units, PQ = 2x units and PQR = θ.

6.1 Determine the general solution for sin(x – 30°) = cos 2x 6.2 Consider the function f (x)= sin(x – 30°) and g(x) = cos 2x 6.2.1 Write down the period of g 6.2.2 State the range of f 6.2.3 On the grid provided in the ANSWER BOOK, draw a graph of f and g … Read more

5.1 Simplify fully : sin(90° – x). cos(180° + x) + tanx. cosx. sin(x – 180°) 5.2 Prove, WITHOUT using a calculator, that (6) (6) 5.3 In the diagram below, R is a point in the first quadrant such that TOR = α .RO is extended to P such that OP = 2 RO and … Read more

C, a point of the x-axis, A (-5; -3) and B (4; 12) are the vertices of a triangle.AB intersect the x-axis at E.ABC = θ and BEC = α . 4.1 Calculate the gradient of AB. 4.2 Determine the coordinates of point E. 4.3 Determine the size of α. Round off to the nearest … Read more

A (-2 ; -5), B, C and D are the vertices of quadrilateral ABCD such as the diagonal AC is perpendicular to diagonal BD at T. The equation of BTD is given by 2y + x = 18 and AB =15 units. 3.1 Determine the gradient of a line AC 3.2 Determine the equation of … Read more

A student conducted a survey among his friends and relatives to determine the relationship between the age of a person and the number of marketing phone calls he or she received within one month. The information is given in the table below. 2.1 Complete the frequency and cumulative frequency columns in the table given in … Read more