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11 Nov 2019
1. Find all solutions of the following equations, where theta is measured in radians. Express each answer as a fraction of pi. 2. By writing tan x in terms of sin x and cos x, prove that tan x + 1/ tan x = 2/sin 2x . [3 Marks] 3. The points A, B and C are the vertices of a triangle. The midpoint of the side AC is X, and the midpoint of the side BC is Y. Express XY vector in terms of AB vector and AC vector. [3 Marks] 4. Relative to an origin O, the position vectors of the points A and B are a and b respectively. The position vectors of the points P, Q and R relative to O are 13a -2b, 22a + b. and 10a - 3b respectively. (a) Show that the points P, Q and R are collinear. (b) Draw a diagram to show the positions of P, Q and R relative to one other and evaluate [5 Marks]
1. Find all solutions of the following equations, where theta is measured in radians. Express each answer as a fraction of pi. 2. By writing tan x in terms of sin x and cos x, prove that tan x + 1/ tan x = 2/sin 2x . [3 Marks] 3. The points A, B and C are the vertices of a triangle. The midpoint of the side AC is X, and the midpoint of the side BC is Y. Express XY vector in terms of AB vector and AC vector. [3 Marks] 4. Relative to an origin O, the position vectors of the points A and B are a and b respectively. The position vectors of the points P, Q and R relative to O are 13a -2b, 22a + b. and 10a - 3b respectively. (a) Show that the points P, Q and R are collinear. (b) Draw a diagram to show the positions of P, Q and R relative to one other and evaluate [5 Marks]
Nelly StrackeLv2
30 Mar 2019