upishcat
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 2020
where do I even start???
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It's kind of shitty how they put literally 3 questions into one part lol. Anywaywhere do I even start???
Yep! I personally think it a great addition. It truly is fascinating how Euler combined so many fundamental numbers in math and made a forumula out of them.woah is euler's formula in the new 4u syllabus now?
I just got back home so here's the rest.Im literally woke after seeing your explanation. Thank you so much my dude.
But when we take the Im(RHS) shouldnt we not consider 2cos(ab/2) because that is a real part?I just got back home so here's the rest.
I did consider it. The Im(RHS) line in mine has the 2cos(ab/2) in it..But when we take the Im(RHS) shouldnt we not consider 2cos(ab/2) because that is a real part?
May i ask how you got this? I got as far as to understanding that 3pi/12 and 2pi/12 are used because we know their values using pythagoras triangles
It's from the formula we obtained for tan(alpha + beta \2). You just plug in the values of alpha and beta into the sin and cos equation.May i ask how you got this? I got as far as to understanding that 3pi/12 and 2pi/12 are used because we know their values using pythagoras triangles
Ooops. How dumb of me haha.It's from the formula we obtained for tan(alpha + beta \2). You just plug in the values of alpha and beta into the sin and cos equation.
shouldn't you completely rationalise the denominator to get surd form?May i ask how you got this? I got as far as to understanding that 3pi/12 and 2pi/12 are used because we know their values using pythagoras triangles
ok boomerYou are a boomer if u like Eulers form
Wait until uni. All the boomers will be pissed off if they even see cis. At least that's been my experience imao.I, Giorno Giovanna, hate eulers form!
Sorry DrDusk but I think I will have to go with this one. Stupid_girl's got a point.I guess the question is not expecting you to apply trigonometric identities for product to sum or sum to product. Otherwise, there's no point to bring complex number into the question. Having said that, I think a trigonometric approach is more elegant, especially for the second part of the question.