Date | May 2018 | Marks available | 2 | Reference code | 18M.2.AHL.TZ2.H_1 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 2 |
Command term | Find | Question number | H_1 | Adapted from | N/A |
Question
Consider the complex number .
Express in the form , where .
Find the exact value of the modulus of .
Find the argument of , giving your answer to 4 decimal places.
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
(M1)
A1
[2 marks]
attempt to use (M1)
or equivalent A1
Note: A1 is only awarded for the correct exact value.
[2 marks]
EITHER
arg = arg(2 + 7i) − arg(6 + 2i) (M1)
OR
arg = arctan (M1)
THEN
arg = 0.9707 (radians) (= 55.6197 degrees) A1
Note: Only award the last A1 if 4 decimal places are given.
[2 marks]