FP1: Complex Numbers
The complex number z is given by
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
Original post by Fool In The Rain
The complex number z is given by
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
I have no idea what you are trying to do with the fraction thing...
EDIT: just read the actual question... err, yes the fraction thing is a good idea. However, it is hard to draw it on an argand diagram, or do much else with it either, if it is written in this form. Try to turn it into the form a + bj in a similar way to how you rationalised the denominator at GCSE.
For the modulus, think about plotting the complex number on an argand diagram. The modulus is the length of the line, so how would you work this out given the real and imaginary parts (hint: pythagoras...)
The argument is the angle between this line and the positive real axis (use trig).
To change from modulus argument form into component form, draw a diagram as before. Use trig to work out the real and imaginary components.
(edited 11 years ago)
Original post by Fool In The Rain
The complex number z is given by
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
Find the modulus and argument of
Do I make into ?
Different question:
Then, the complex number z had modulus 2 and argument
Write z in the form
I'd do the first one by putting z into modulus/argument form, because it's really easy to take the reciprocal of something in the form .
The second one: dragonkeeper999 pretty much said what I wanted to say; a diagram is really useful.
Quick Reply
Related discussions
- Further maths - FP1, FP2, FM1 second year, after FM1, FS1 1st year
- Further Maths modules
- Messed up CIE Math P3 and Physics P4.
- Edexcel A-level Further Mathematics Paper 2 (9FM0 02) - 5th June 2023 [Exam Chat]
- Further Maths 2023/2024!!!
- Edexcel A-level Further Mathematics Paper 1 (9FM0 01) - 25th May 2023 [Exam Chat]
- Complex numbers A level question
- I’m so confused about part B Argand diagrams
- Edexcel Further Mathematics Mechanics Exam 14th June 2023 [Exam Chat]
- -1^x = b is this solveable using natural logarithms?
- Further maths
- Integral Maths - Complex numbers - Test C1
- a level math
- AQA A Level Chemistry Transition metals
- Engineering complex numbers + trig help
- inequality involving modulus
- An inequation
- A Level furthermaths
- What does 3<180 mean in the polynomial calculator mode?
- Self-teaching A-Level Further Mathematics in One Month Blog
Latest
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 4 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
