Support · Mathematics Extension 2 11–12 – Year 12 · Further integration
Support Use identities relating the trigonometric products as sums and differences to solve problems involving integrals of the form ∫sin(mx)cos(nx)dx, ∫sin(mx)sin(nx)dx or ∫cos(mx)cos(nx)dx
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.
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Prerequisite dot points
Verify the equivalence of a⋅b = (a)(b)cosθ with the algebraic definition of the scalar product, a⋅b = x_1x_2 + y_1y_2 for two dimensions and a⋅b = x_1x_2 + y_1y_2 + z_1z_2 for three dimensions
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
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