| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | June |
| Marks | 4 |
| Topic | Addition & Double Angle Formulae |
| Type | Derive triple angle formula only |
| Difficulty | Moderate -0.5 This is a straightforward derivation using the addition formula for tan(A+B) with A=2θ and B=θ. It requires applying the double angle formula for tan 2θ, then substituting into tan(A+B) and simplifying algebraically. While it involves multiple steps and careful algebra, it's a standard textbook exercise with a clear method and no novel insight required—slightly easier than average. |
| Spec | 1.05l Double angle formulae: and compound angle formulae |
4.
Use the identity for $\tan ( A + B )$ to show that
$$\tan 3 \theta \equiv \frac { 3 \tan \theta - \tan ^ { 3 } \theta } { 1 - 3 \tan ^ { 2 } \theta }$$
\hfill \mbox{\textit{SPS SPS FM 2020 Q4 [4]}}