Date | May 2019 | Marks available | 1 | Reference code | 19M.2.AHL.TZ1.H_6 |
Level | Additional Higher Level | Paper | Paper 2 | Time zone | Time zone 1 |
Command term | Show | Question number | H_6 | Adapted from | N/A |
Question
Let , , and let .
Show the points represented by and on the following Argand diagram.
Find an expression in terms of θ for .
Find an expression in terms of θ for .
Hence or otherwise find the value of θ for which .
Markscheme
* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.
A1
Note: Award A1 for in first quadrant and its reflection in the -axis.
[1 mark]
(or any equivalent) A1
[1 mark]
(M1)
(or any equivalent) A1
[2 marks]
METHOD 1
if then , ( odd) (M1)
(A1)
A1
METHOD 2
M1
A1
A1
Note: Accept any equivalent, eg .
[3 marks]