OCR MEI C2 — Question 2 2 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStandard trigonometric equations
TypeExact value proofs
DifficultyEasy -1.2 This is a straightforward geometric demonstration requiring students to draw an isosceles right-angled triangle with sides 1:1:√2 and apply the definition of cosine. It's a standard textbook exercise testing basic understanding of trigonometric ratios with minimal problem-solving required, making it easier than average.
Spec1.05g Exact trigonometric values: for standard angles

Use an isosceles right-angled triangle to show that \(\cos 45° = \frac{1}{\sqrt{2}}\). [2]

Question 2:
AnswerMarks
2using Pythagoras to show that hyp.
of right angled isos. triangle with
sides a and a is √2a
AnswerMarks
completion using definition of cosineM1
A1www
a any letter or a number
AnswerMarks
NB answer given2
Question 2:
2 | using Pythagoras to show that hyp.
of right angled isos. triangle with
sides a and a is √2a
completion using definition of cosine | M1
A1 | www
a any letter or a number
NB answer given | 2
Use an isosceles right-angled triangle to show that $\cos 45° = \frac{1}{\sqrt{2}}$. [2]

\hfill \mbox{\textit{OCR MEI C2  Q2 [2]}}