Further trigonometry — Topic Review | Year 11

QUICK RECAP

Connect the ideas

Use radians consistently in arc/sector formulas and periodic arguments.

Use quadrant signs and all branches of an equation, retaining original exclusions.

Factor sinusoidal arguments before reading phase shift.

Choose the compound/double-angle identity that matches the available information.

Combine same-frequency sine and cosine terms by coefficient matching.

Distinguish reciprocal functions from inverse functions.

Prove identities on a stated common domain and interpret contextual predictions with units.

Complete each paper and show your working.

Further trigonometry — Practice test 1
10 questions · 42 marks · 65 minutes · Scientific calculator
Build from exact angles and graph features to identities and periodic applications. Angles are in radians unless a degree symbol is shown.
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Further trigonometry — Practice test 2
10 questions · 40 marks · 65 minutes · Scientific calculator
Use representations, exact reasoning and graph restrictions. Supply exact answers where possible and state domains.
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Further trigonometry — Practice test 3
10 questions · 42 marks · 65 minutes · Scientific calculator
Connect exact identities, restricted domains and graph information. Justify each branch of a solution set.
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Further trigonometry — Practice test 4
10 questions · 43 marks · 65 minutes · Scientific calculator
Use exact calculation and periodic models in unfamiliar but fully specified situations. Interpret all units and restrictions.
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Further trigonometry — Synthesis test 5
10 questions · 49 marks · 75 minutes · Scientific calculator
A more demanding paper combining reasoning, error analysis, exact values and model construction. Explain exclusions and check the meaning of every result.
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