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# Complex numbers in polar form Watch

1. How do I go about finding the arguments of sin(4/7 pi) - icos(4/7 pi) and i + tan(2/7 pi)? I've only done in the form of cos(x) + isin(x) and I don't know how to change it to apply to these situations

thanks
2. (Original post by bl64)
How do I go about finding the arguments of sin(4/7 pi) - icos(4/7 pi) and i + tan(2/7 pi)? I've only done in the form of cos(x) + isin(x) and I don't know how to change it to apply to these situations

thanks
In general, one can write with and .
On the right hand half plane, one can write .
On the left hand half plane it may differ from by the addition or subtraction of depending on the sign of .

The above is known as the principal value of the argument, You could equally well define the argument on any other interval of width .
3. (Original post by joostan)
In general, one can write with and .
On the right hand half plane, one can write .
On the left hand half plane it may differ from by the addition or subtraction of depending on the sign of .

The above is known as the principal value of the argument, You could equally well define the argument on any other interval of width .
Btw you can use ["tex"] (sans the quotes) instead of ["latex"] and \Im for the imaginary part function, though many people might not recognize it because it looks like this: .
4. (Original post by gagafacea1)
Btw you can use ["tex"] (sans the quotes) instead of ["latex"] and \Im for the imaginary part function, though many people might not recognize it because it looks like this: .
Yeah, I know, but there are some options that \tex doesn't cover, so I use \latex for all the difference it makes
5. (Original post by gagafacea1)
Btw you can use ["tex"] (sans the quotes) instead of ["latex"] and \Im for the imaginary part function, though many people might not recognize it because it looks like this: .
And you can write $$some command$$ using "[noparse]$$some command$$[/noparse]".
6. (Original post by joostan)
Yeah, I know, but there are some options that \tex doesn't cover, so I use \latex for all the difference it makes

(Original post by Kvothe the arcane)
And you can write $$some command$$ using "[noparse]$$some command$$[/noparse]".
Oh thanks!! The more you know.

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