Learning pack · IGCSE handout

Trigonometric Functions

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Beyond right triangles: $\sin$ , $\cos$ , $\tan$ as functions of any angle, with graphs and exact values for key angles.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (6)📖 Full summary

Files: 43_trigonometric_functions_handout.pdf · 43_trigonometric_functions_handout_answers.pdf

Full topic summary

Beyond right triangles: $\sin$ , $\cos$ , $\tan$ as functions of any angle, with graphs and exact values for key angles.

Key learning points

Exact values for $0^\circ,30^\circ,45^\circ,60^\circ,90^\circ$ are examinable.
Graphs: sine/cosine period $360^\circ$ ; tangent period $180^\circ$ with asymptotes.
Solve simple trig equations inside a given interval.

Worked example 1 — Exact value

Find $\sin 30^\circ$ .

Working

\tfrac{1}{2}

Standard exact value.

Worked example 2 — Amplitude

Amplitude of $y=3\sin x$ ?

Working

3

Vertical stretch.

Worked example 3 — Solve

Solve $\cos\theta=\tfrac{1}{2}$ for $0^\circ\le\theta\le360^\circ$ .

Working

\theta=60^\circ,\ 300^\circ

Cosine positive in 1st and 4th quadrants.

Worked example 4 — Period

Period of $y=\sin(2x)$ in degrees?

Working

180^\circ

Period of $\sin(bx)$ is $360^\circ/|b|$ .

🎬 Topic videos

Differentiating Inverse Trigonometric Functions (1 of 6: Laying foundations)
Eddie Woo · 14 min
Classroom-ready explain of graphs, functions. Use when teaching this topic in Lower Secondary / IGCSE.
Differentiating Inverse Trigonometric Functions (3 of 6: Examples + graphing the derivative)
Eddie Woo · 7 min
Classroom-ready explain of rates of change, functions. Use when teaching this topic in Lower Secondary / IGCSE.
Differentiating Inverse Trigonometric Functions (5 of 6: Graphing inverse sine derivative)
Eddie Woo · 5 min
Classroom-ready explain of rates of change, functions. Use when teaching this topic in Lower Secondary / IGCSE.
Differentiating Inverse Trigonometric Functions (6 of 6: Cosine)
Eddie Woo · 6 min
Classroom-ready explain of graphs, functions. Use when teaching this topic in Lower Secondary / IGCSE.
Integrating into Inverse Trigonometric Functions
Eddie Woo · 13 min
Classroom-ready explain of graphs, functions. Use when teaching this topic in Lower Secondary / IGCSE.
Differentiating Inverse Trigonometric Functions (2 of 6: Proof for inverse tan)
Eddie Woo · 9 min
Classroom-ready explain of proof. Use when teaching this topic in Lower Secondary / IGCSE.

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