| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2007 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | State exact trig values at special angles |
| Difficulty | Easy -1.3 This is a straightforward recall question requiring knowledge of exact trig values at special angles (300° = 360° - 60°) and basic degree-to-radian conversion. Both parts are routine bookwork with no problem-solving element, making it easier than average. |
| Spec | 1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta1.05g Exact trigonometric values: for standard angles |
| Answer | Marks | Guidance |
|---|---|---|
| (i) \(-\sqrt{3}\) | B1 | Accept exact decimal equivalent |
| (ii) \(\frac{5\pi}{3}\) | M1 A1 | M1 for \(\frac{300}{180} \times \pi\) |
## Question 1:
**(i)** $-\sqrt{3}$ | B1 | Accept exact decimal equivalent
**(ii)** $\frac{5\pi}{3}$ | M1 A1 | M1 for $\frac{300}{180} \times \pi$
---1 (i) State the exact value of $\tan 300 ^ { \circ }$.\\
(ii) Express $300 ^ { \circ }$ in radians, giving your answer in the form $k \pi$, where $k$ is a fraction in its lowest terms.
\hfill \mbox{\textit{OCR MEI C2 2007 Q1 [3]}}