Question

convert r=2sin3(theta) to rectangular form?? please:)

Answer 1

haha i hav a test on all this stuff tom..so yeahh

Answer 2

if z = r(cosθ + isinθ)
z^3 = r^3 (cos3θ + isin3θ)

Answer 3

or can we multiply r to both sides and get r^2=2rcos3(theta)?..n thn end up with x^2+y^2-6y=0?

Answer 4

r = 2sin^3(t) right?

Answer 5

how is sin 3θ equal to 6y?

Answer 6

no\[r=2\sin3\Theta\]

Answer 7

r = 2 sin(3t) then, ok

Answer 8

i multiplied 2 times 3..u cant do tht huh

Answer 9

no u cant

Answer 10

oh..lol..k

Answer 11

if z = r(cosθ + isinθ) = x + iy
z^3 = r^3 (cos3θ + isin3θ) = (x^3 - 3xy^2) + i(3x^2 y - y^3)

Answer 12

thats the eqn?

Answer 13

no..long way to go

Answer 14

equate the coefficients

r^3sin3θ = (3x^2 y - y^3)

Answer 15

r u indian?

Answer 16

so sin3θ is (3x^2y - y^3)/r^3

now think back to ur original qstn

we get

r^4 = 2(3x^2y - y^3)

Answer 17

m indian yes..

Answer 18

wud r^4 b (x^2+y^2)^2

Answer 19

yes maam

Answer 20

wer in south india?

Answer 21

i come from the extreme north but i live in the capital

Answer 22

delhi

Answer 23

yeah..nd m kashmiri

Answer 24

oh..cool

Answer 25

wht grade r u in?

Answer 26

10

Answer 27

ohk...

Answer 28

so uve done complex nos?

Answer 29

not rlly..our teacher didint go over those tht well

Answer 30

ohk...theyre really useful..did u get all those rotations i ws doing?

Answer 31

yeah:)

Answer 32

then u know complex quite well

Answer 33

wht time is it there?

Answer 34

haha..well..being asian helps with math

Answer 35

its 4...der?

Answer 36

2 in the morning

Answer 37

oh wow..ohk..well i shud get back 2 all the othr probs:(

Answer 38

:(..thanks for the medal..post ur probs..ill help:)

Answer 39

no problem..thnkss

Answer 40

ur welcome..keep in touch..