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Trigonometry (P2) Topic Review summary

Self-review trigonometry for P2: identities and equations at this Pure depth.

Open Learning Sheet — Trigonometry (P2) Topic Review Download Trigonometry (P2) Topic Review answers PDF

Files: Topic-Review-P2-Trigonometry.pdf · Topic-Review-P2-Trigonometry-Answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

Exact values for standard angles in degrees/radians.
Solve equations on a given interval with all solutions.
Identities including Pythagorean and reciprocal relations.
Radians applications (arc/sector) when on the syllabus.
Compound/double-angle where the module requires them.

Worked example 1 — Solve

$\\cos\\theta=\\frac12$ in $[0,2\\pi)$ .

Working

\\theta=\\frac{\\pi}{3},\\frac{5\\pi}{3}

Two solutions in a full turn.

Worked example 2 — Identity

$1+\\tan^2\\theta$ .

Working

\\sec^2\\theta

Pythagorean identity.

Worked example 3 — Exact values for standard angles in degree

Apply this idea from the Topic Review: Exact values for standard angles in degrees/radians.

Working

\text{see answers PDF}

Attempt without notes, then check the answers PDF.

Worked example 4 — Solve equations on a given interval with a

Apply this idea from the Topic Review: Solve equations on a given interval with all solutions.

Working

\text{see answers PDF}

Attempt without notes, then check the answers PDF.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Open Learning Sheet Answers PDF

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