Trigonometric identities and equations

By the end you’ll be able to

• Use the identities $\sin^2 x+\cos^2 x\equiv 1$, $\tan x\equiv \dfrac{\sin x}{\cos x}$, and related forms.
• Use compound-angle formulae for $\sin(A\pm B)$, $\cos(A\pm B)$ and $\tan(A\pm B)$ where required by the course route.
• Use double-angle formulae and related identities where required by the course route.