| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | December |
| Marks | 4 |
| Topic | Standard trigonometric equations |
| Type | Product of trig functions |
| Difficulty | Moderate -0.3 This is a straightforward trigonometric equation requiring rewriting tan x as sin x/cos x, factoring out sin x, and solving cos x = 1/2 within the given interval. It's slightly easier than average as it uses standard techniques with no conceptual surprises, though the exact solutions and interval restriction require some care. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
Solve $2 \sin x = \tan x$ exactly, where $-\frac{\pi}{2} < x < \frac{\pi}{2}$. [4]
\hfill \mbox{\textit{SPS SPS FM 2020 Q1 [4]}}