| Exam Board | OCR MEI |
|---|---|
| Module | C4 (Core Mathematics 4) |
| Year | 2012 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Simple double angle equations (direct substitution) |
| Difficulty | Moderate -0.3 This is a straightforward trigonometric equation requiring students to rearrange cot 2θ = 3 to find 2θ, then divide by 2 and account for the periodicity to find all solutions in the given range. It's slightly easier than average because it's a direct application of inverse trig functions with minimal algebraic manipulation, though students must remember to find all solutions in the domain. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
| Answer | Marks |
|---|---|
| 2 (i) | P |
Question 2:
--- 2 (i) ---
2 (i) | P
Q
T
R
S
--- 2 (ii) ---
2 (ii)Solve, correct to 2 decimal places, the equation $\cot 2\theta = 3$ for $0° < \theta < 180°$. [4]
\hfill \mbox{\textit{OCR MEI C4 2012 Q2 [4]}}