TRIGONOMETRY Question 5    Ray OP forms an angle of…

TRIGONOMETRY Question 5    Ray OP forms an angle of α to the positive x axis, 5 tan α = 12 and α  ∈  [90°; 270°]. 5.1 Draw a sketch showing ray OP in the Cartesian plane. (2) 5.2   Determine the value of each of the following trigonometric ratios without the use of a calculator.   Show each step in your calculations. 5.2.1 cos α (3) 5.2.2 tan (180° – α) (2) 5.2.3 sin (30° – α) (3)   TOTAL [10]  

ANALYTICAL GEOMETRY Question 1   The sketch shows tr…

ANALYTICAL GEOMETRY Question 1   The sketch shows triangle PQR in the Cartesian plane. The coordinates of point P are (5; 0). The angle of inclination of line PQ is 116,57°. S is the midpoint of line PQ. The length ratio OR : OP is 3 : 2.      Right click to open diagram in a new “tab”.   1.1 Determine: 1.1.1 the gradient of PQ, to the nearest integer value. (2) 1.1.2 the equation of PQ in the form . (2) 1.1.3 the distance PS in surd form. (3) 1.1.4 the coordinates of Q. (2) 1.2 Determine the coordinates of R. (2) 1.3 Calculate the area of ΔPQR. (4)   TOTAL [15]