expresss complex number in rectangular form \[\sqrt{7}*cis*2.1 \]
is that cosine ?
its cis cos+isin
yes it is stupid notation for \[cos(\theta)+i sin(\theta)\]
im trying square of 7 which is 2.64 times cos but cos(?)
i also assume that you are working in radians, not degrees. So just use a calculator. \[\sqrt{7} [cos(2.1)+i sin(2.1)]\]
i get -1.336 for a and 2.284 for b (rounded) so answer is -1.336 + 2.284 i
the cosine part relates to the x coord; the i sin part relates to the y coord right?
Did the others parse it tight to be: cos(2.1) + i sin(2.1)?
(-1.34, 42.30) is what i get with radian measurements...
2.28.. musta hit a wrong buttononthe calc :)
yes cosine is x and sine is y, usually written as a and b as in a + bi. I doubt it is (-1.34,42.3) for two reasons: the rectangular form of a complex number is a number, not a coordinate. so it should look like a + bi also we know that the absolute value of that number is \[\sqrt7\]
correct, its similar to polar coordinates in that respect. But i think the exercise here is to see that complex numbers are nothing new and that they can be plotted in the same manner as rectangular coords...right?
Join our real-time social learning platform and learn together with your friends!