Support Use the identities ∫(f(x) + g(x))dx = ∫f(x)dx + ∫g(x)dx and ∫kf(x)dx = k∫f(x)dx for primitives

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Establish the identities tan⁡θ = sin⁡θ/cos⁡θ and cot⁡θ = cos⁡θ/sin⁡θ, identifying the angles to be excluded in each identity

Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping

No checked resources on this prerequisite dot point yet.

Prove the Pythagorean identity cos²⁡x + sin²⁡x = 1, and the identities 1 + tan²⁡x = sec²⁡x and 1 + cot²⁡x = cosec²⁡x

Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping

No checked resources on this prerequisite dot point yet.

Establish the reciprocal ratios sec⁡A = 1/cos⁡A, cosec⁡A = 1/sin⁡A, and cot⁡A = 1/tan⁡A, identifying the angles to be excluded in each identity

Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping

No checked resources on this prerequisite dot point yet.