A-Level Maths Edexcel (9MA0)

#1.5.6 Addition and double angle formulae

ProgressNo skill scores yet

Understand and use double angle formulae; use of formulae for sin⁡(A±B)\sin{(A ± B)}, cos⁡(A±B)\cos{(A ± B)}, and tan⁡(A±B)\tan{(A ± B)}, understand geometrical proofs of these formulae.

To include application to half angles.
Knowledge of the tan⁡(12θ)\tan{(\frac{1}{2}θ)} formulae will not be required.

Understand and use expressions for acos⁡θ+bsin⁡θa\cos{θ} + b\sin{θ} in the equivalent forms of rcos⁡(θ±α)r\cos{(θ±α)} or rsin⁡(θ±α)r\sin{(θ±α)}

Students should be able to solve equations such as acos⁡θ+bsin⁡θ=ca\cos{θ} + b\sin{θ} = c in a given interval.