# Writing paper using latex

Homework Helper
I'm like writing my homework out on a computer and find LateX the easiest code to use (I have a fairly easy one at home but at college their maths editors are very limited)

I was going to use the preview post function to copy and paste everything into word but unfortunately it just stays the same no matter what I do (stuck on my first preview post). I am going to use and edit this thread for my homework but could someone please give a link of an online system where I can input LateX code and get a visual display of it.

1a) $${ \left[ \cos{ \frac{2 \pi}{5}} +i\sin{ \frac{2 \pi}{5}} \right] }^{10}$$

$$\cos{4\pi} + i\sin{4\pi} = 1$$

b) $${ \left[ \cos{\frac{\pi}{12}} + i\sin{\frac{\pi}{12}} \right] }^8$$

$$\cos{\frac{3\pi}{4}} + i\sin{\frac{3\pi}{4}} = \frac{\sqrt{2}}{2} + \frac{i\sqrt{2}}{2}$$

c) $${\left[ \cos{\left(-\frac{\pi}{27}\right)} + i\sin{\left(-\frac{\pi}{27}\right)} \right]}^9$$

$$\cos{\left(-\frac{\pi}{3}\right)} + i\sin{\left(-\frac{\pi}{3}\right)} = \frac{1}{2} - \frac{\sqrt{3}}{2}$$

d) $${\left( \cos{\frac{\pi}{18}} - i\sin{\frac{\pi}{18}} \right)}^3$$

$${\left( \cos{\left[-\frac{\pi}{18} \right]} + i\sin{\left[-\frac{\pi}{18}\right]} \right)}^3$$

$$\cos{\left[-\frac{\pi}{6}\right]} + i\sin{\left[-\frac{\pi}{6}\right]} = \frac{\sqrt{3}}{2} + \frac{i}{2}$$

2) $$z = 2(1 - i\sqrt{3})$$

$$z = 2 - i2\sqrt{3}$$

$$|z| = 4$$

$$arg(z) = -\frac{\pi}{3}$$

$$z^8 = \left[ 4 \left( \cos{\frac{\pi}{3}} + i\sin{\frac{\pi}{3}} \right) \right]^8$$

$$z^8 = 4^8 \left( \cos{\frac{8\pi}{3}} + i\sin{\frac{8\pi}{3}} \right)$$

$$z^8 = 65536 \left( -\frac{1}{2} + \frac{i\sqrt{3}}{2} \right)$$

$$z^8 = -16384 + i16384\sqrt{3}$$

$$\frac{1}{z^5} = z^{-5}$$

$$z^{-5} = \left[ 4 \left( \cos{\frac{\pi}{3}} + i\sin{\frac{\pi}{3}} \right) \right]^{-5}$$

$$z^{-5} = 4^{-5} \left( \cos{\frac{-5\pi}{3}} + i\sin{\frac{-5\pi}{3}} \right)$$

$$z^{-5} = \frac{1}{1024} \left( \frac{1}{2} + \frac{i\sqrt{3}}{2} \right)$$

$$z^{-5} = \frac{1}{2048} + \frac{i\sqrt{3}}{2048}$$

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arivero
Gold Member
Zurtex, as LaTeX is free source software, you should be able to get a version of it for your platform, no need for online products, and no need for Word after all.

If you want to process LaTeX in a visual editor, you should look for non freee platforms such as SciTeX.

Homework Helper
Originally posted by arivero
Zurtex, as LaTeX is free source software, you should be able to get a version of it for your platform, no need for online products, and no need for Word after all.

If you want to process LaTeX in a visual editor, you should look for non freee platforms such as SciTeX.
O.K thanks, well I'll set that up at home, however at college I have no rights to add or remove software.

dlgoff
Gold Member
I was going to use the preview post function to copy and paste everything into word but unfortunately it just stays the same no matter what I do (stuck on my first preview post). I am going to use and edit this thread for my homework but could someone please give a link of an online system where I can input LateX code and get a visual display of it.
Do a google search for "latex2rtf". I found a free latex to .rtf file program which can be read by word. But I haven't used it yet.

Regards