Trigonometry, Geometry and Vectors

This course deals with the description of the behavior of trigonometric functions. Establishment of trigonometric identities (compound-angled identities, double/half angle identities, factor identities) will be discussed followed by skills to solve trigonometric equations (including the harmonic form). This course also studies the mathematical field called Co-ordinate Geometry: gradient, equation of a straight line, parallel/perpendicular lines, equation of a circle, Cartesian equation versus parametric representation and points of intersection between curves. At the end of this course the topic Vectors will be discussed. This includes equality, addition, subtraction, scalar multiplication, position/unit/displacement vectors, magnitude and direction of a vector, scalar dot product.