Math ClubMath Club

Term 2 · Year 1

Term 2 — Trigonometry and Sequences

Trigonometric tools + introduction to the idea of limit via sequences.

10 lessons  ·  10 published ·  ~32h of study

(Year 1 — Foundations)

Classes (didactic grouping)

Each Class groups 2–5 Lessons by topic. Click on a Lesson to study the content.

Class A — Triangle trigonometry

~6h · 2 lessons
  1. Lesson 11
    Trigonometric ratios in the right triangle
    sin, cos, tan, measurement applications
    published →
  2. Lesson 12
    Trigonometric circle and radians
    Radians, fundamental identities
    published →

Class B — Trigonometric functions and equations

~9h · 3 lessons
  1. Lesson 13
    Trigonometric functions
    Periodicity, graphs of sin x, cos x, tan x
    published →
  2. Lesson 14
    Trigonometric equations and inequalities
    sin x = 1/2, etc.
    published →
  3. Lesson 15
    Law of sines and law of cosines
    Non-right triangles, area via 1/2 ab sin C
    published →

Class C — Sequences, arithmetic and geometric progressions

~9h · 3 lessons
  1. Lesson 16
    Numerical sequences
    (aₙ), recurrence, monotonicity, boundedness
    published →
  2. Lesson 17
    Arithmetic progressions (PA)
    aₙ = a₁ + (n-1)d, sum formula
    published →
  3. Lesson 18
    Geometric progressions (GP)
    aₙ = a₁q^(n-1), geometric sum, infinite series
    published →

Class D — Intuitive limit of a sequence

~6h · 2 lessons
  1. Lesson 19
    Intuitive limit of sequences
    lim aₙ via inspection, divergence, oscillation
    published →
  2. Lesson 20
    Trim 2 Consolidation: trigonometry + sequences workshop
    Trig + sequences synthesis
    published →

Test yourself this term

There are 10 exam versions covering this term, each with answer key + step-by-step solutions. Take one after each group of lessons.

Open exams for Term 2 →