Trigonometry

High trendapprox. 12 marksSections B/C/D — identities, evaluations and one heights & distances application.

Notesformulae · proofs · mind-map — one view

Learn the 5 conceptsteach yourself first, then practise each

Trigonometric ratios of an acute angle (sin, cos, tan and their reciprocals)2–3 marks Visual

Define each ratio from the labelled right triangle and find all six from one — well defined because the triangle's size cancels.

Relationships between the ratios (cosec = 1/sin, sec = 1/cos, cot = 1/tan = cos/sin)1–2 marks Visual

Swap a ratio for its reciprocal or quotient form before evaluating or simplifying.

Ratios at standard angles (0°, 30°, 45°, 60°, 90°)1–2 marks Visual

Plug straight into evaluation and 1-mark MCQs.

Pythagorean identities (sin²θ+cos²θ=1, 1+tan²θ=sec²θ)2–3 marks

Replace one ratio with another to simplify or prove.

Heights & distances setup (angle of elevation / depression)3–5 marks Visual

Translate the picture into a tan or sin equation in one step — only 30°, 45°, 60°; at most two right triangles.

When you’re ready — practise or test the whole topic