OCR MEI C4 2005 June — Question 3 4 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2005
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicReciprocal Trig & Identities
TypeSolve equation with reciprocal functions
DifficultyEasy -1.2 This is a straightforward equation requiring only the definition of sec θ = 1/cos θ, taking square roots, and recalling standard angles. It's a direct one-step problem with no problem-solving required, making it easier than average for A-level.
Spec1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05o Trigonometric equations: solve in given intervals
3 Solve the equation $$\sec ^ { 2 } \theta = 4 , \quad 0 \leqslant \theta \leqslant \pi ,$$ giving your answers in terms of \(\pi\).
AnswerMarks Guidance
n\(x_n\)
00.5
10.8
20.512
30.7995392
40.5128840565
50.7994688035 
| n | $x_n$ |
|---|-------|
| 0 | 0.5 |
| 1 | 0.8 |
| 2 | 0.512 |
| 3 | 0.7995392 |
| 4 | 0.5128840565 |
| 5 | 0.7994688035 | | B1 | Condone variations in last digits
3 Solve the equation

$$\sec ^ { 2 } \theta = 4 , \quad 0 \leqslant \theta \leqslant \pi ,$$

giving your answers in terms of $\pi$.

\hfill \mbox{\textit{OCR MEI C4 2005 Q3 [4]}}
This paper (6 questions)
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Q2 6 Q3 4 Q4 5 Q5 7 Q6 8 Q7 18