Home  Maths  Science  Tests ← Syllabus Headings Paper 2TRIGONOMETRY(a) Derive and use the values of the trigonometric functions (in surd form where applicable) of 30º, 45ºand 60º.
(b) Derive and use the following identities:
(c) Derive the reduction formulae for:
sin(180° ± θ)
sin(360° ± θ)
sin(θ) (d) Determine the general solution of trigonometric equations (e) Establish and apply the sine, cosine and area rules. Solve problems in two dimensions by using the sine, cosine and area rules; and by constructing and interpreting geometric and trigonometric models.
Generate as many graphs as necessary, initially by means of pointbypoint plotting, supported by available technology, to make and test conjectures about the effect of the parameters k, p, a and q for functions including:
Identify characteristics as listed below and hence use applicable characteristics to sketch graphs of functions including those listed above: Clarification
Derive and use the following compound angle identities: (a)
(b)
(c)
(d)
Solve problems in two and three dimensions by constructing and interpreting geometric and trigonometric models.
Clarification
