LCHL Revision of JC Trigonometry with extension to LC HL (radian measure)
LCHL The unit circle and graphs of trigonometric functions
LCHL Area of triangle, sine rule & cosine rule
LCHL Trigonometric formulae and proofs
Right-angled triangles. Trigonometric ratios.
Interactive Files & Worksheets for Geometry & Trigonometry
I should be able to:
Foundation Level
– apply the result of the theorem of Pythagoras to solve right-angled triangle problems of a simple nature involving heights and distances
– use trigonometric ratios to solve real world problems involving angles
Ordinary Level
– use of the theorem of Pythagoras to solve problems (2D only)
– use trigonometry to calculate the area of a triangle
– solve problems using the sine and cosine rules (2D)
– define sin θ and cos θ for all values of θ
– define tan θ
– solve problems involving the area of a sector of a circle and the length of an arc
– work with trigonometric ratios in surd form
Higher Level
– use trigonometry to solve problems in 3D
– graph the trigonometric functions sine, cosine, tangent
– graph trigonometric functions of type • f(θ)= a+bSin cθ • g(θ) = a+bCos cθ for a,b,c ∈ R
– solve trigonometric equations such as Sin nθ=0 and Cos nθ= ½ giving all solutions
– use the radian measure of angles
– derive the trigonometric formulae 1, 2, 3, 4, 5, 6, 7, 9 (see appendix)
– apply the trigonometric formulae 1-24 (see appendix)