| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Addition & Double Angle Formulae |
| Type | Solve equation with tan(θ ± α) |
| Difficulty | Standard +0.8 This question requires applying the tan addition formula, algebraic manipulation to form a quadratic in tan(x), and solving for multiple solutions in a given interval. It goes beyond routine formula application by requiring students to recognize how to use the addition formula in reverse and handle the resulting quadratic, making it moderately harder than average. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals |
4. Find the values of $x$ in the interval $- 180 < x < 180$ for which
$$\tan ( x + 45 ) ^ { \circ } - \tan x ^ { \circ } = 4 ,$$
giving your answers to 1 decimal place.\\
\hfill \mbox{\textit{OCR C3 Q4 [7]}}