Question

can anyone help me with this question please..

add <4,60> and <2,315> and express the result in polar form

Answer 1

add a+a and b+b

Answer 2

you mean a1 and b1 like that?

Answer 3

yeah <a1+a2, b1+b2>

Answer 4

ok thanks

Answer 5

then you have to find the angle and the ray

Answer 6

polar form is <r, theta>

Answer 7

how much will you get when you add those

Answer 8

<6, 375>

Answer 9

thats what i got

Answer 10

whats the next step

Answer 11

r=√a²+b² you know that right?

Answer 12

yes

Answer 13

ok find r

Answer 14

how much you got?

Answer 15

what did you get?

Answer 16

i got 375.04

Answer 17

is that right?

Answer 18

if you can use decimal form, can you?

Answer 19

375.0479959

Answer 20

may b not

Answer 21

ok do you know how to find theta?

Answer 22

well its a prime number

Answer 23

how not to write in decimal form?

Answer 24

√140661, cant be factored any more

Answer 25

oo yea

Answer 26

hang on i think it can

Answer 27

how can we find theta?

Answer 28

ok

Answer 29

do you know how to simplify square roots?

Answer 30

yea

Answer 31

but not much

Answer 32

try to divde by things that are factorable under the square root

Answer 33

ok

Answer 34

the lowest its going to go is 3√15629

Answer 35

i got that too

Answer 36

now to find theta you have to remember tanθ=b/a

Answer 37

ok

Answer 38

so place b/a and find the arctan

Answer 39

ok i got 62.5

Answer 40

so polar form = <3√15629, 62.5°>, does this look right?

Answer 41

mmm yea..

Answer 42

thanks a lot,, appreciate your help

Answer 43

no problem