Higher Level · Leaving Cert · Paper 2

Trigonometry

Climb the layers. Read, learn, drill, master.

Live with Carl

Learn it in real time.

Self-study takes you to the door. The live grind takes you through it.

Next live grind

Trigonometry — coming soon

Schedule TBC · Weekly · 7:00 PM

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Past recordings

Trigonometry archive

Every previous Trigonometry grind, recorded

Members only · Coming soon

The Blitz

One day. One topic. All of it.

A full intensive day on Trigonometry — for the students who want to finish a chapter in a single sitting.

Trigonometry Blitz

Date to be announced

All-day intensive · Kilkenny, Athlone & Wexford venues

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Notes in parts.

Trigonometry is split into 12 lessons. Work through them in order, or jump to the one you need.

01 Basic Trigonometry Right-angled triangles — sin, cos, tan · Tap to open Open → 02 Double & Compound Angles sin 2A formulas · compound angles · sin 15° & tan 105° without a calculator · prove cos 3A · Tap to open Open → 03 Sum and Product Formulas Convert sums and differences to products — and back · Tap to open Open → 04 Trigonometric Equations ASTC · reference angles · general solutions · Tap to open Open → 05 Trig Graphs Sine, cosine and tangent graphs — range and period · Tap to open Open → 06 Non-Right-Angled Triangles Sin Rule · Cosine Rule · Area = ½ ab Sin C · Tap to open Open → 07 Sectors of a Circle Area and arc length in degrees and radians · chords · circumscribed sectors · intersecting circles · Tap to open Open → 08 3D Diagrams Pull the 2D triangles out of a 3D figure · Tap to open Open → 09 3D Trigonometry & Sectors Corner-of-a-room 3D · two vertical poles · intersecting circles · sector circumscribed by a circle · Tap to open Open → 10 Inverse Trig Cos⁻¹ is really an angle · Tap to open Open → 11 Identities Prove LHS = RHS · Tap to open Open → 12 Trig Proofs Prove the compound-angle formulas, the Sine Rule and the Cosine Rule · Tap to open Open →

Need to Know.

The condensed rules — stripped of derivations. Tap to peek at any rule.

≣ Need to Know — Trigonometry The rules you must hold in your head · Tap to open Open →

The Cog.

One page. Everything in its place. Print and keep — Carl's signature summary sheet.

⚙ Trigonometry — Exam Cog PDF · Trigonometry · Tap to open / print Open →

Flash Cards.

Front asks. Back answers. The drill before the test.

⤿ Flash Cards — Trigonometry Recall under pressure · Know / Maybe / Don't know · Tap to open Open →

Tick the Box.

The mastery check. Read the question. Pick what fits. Don't get fooled by the lookalikes.

◉ Tick the Box — Trigonometry Honest self-assessment · Know / Maybe / Don't know · Tap to open Open →