Trigonometry (P3) Topic Review summary

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

Two solutions in a full turn.

Worked example 2 — Identity

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

Working

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

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

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.