Question

m';o'[p

Answer 1

@hartnn

Answer 2

@phi

Answer 3

yeah i did but i can never get the right answer. the denominator sqrtB-1 always ends up 1-sqrtB

Answer 4

but i need it as \[(\sqrt{A}+1)/(\sqrt{B}-1)\]

Answer 5

@hartnn @phi

Answer 6

@robtobey @zepdrix @jhonyy9

Answer 7

@timo86m @Destinymasha @jigglypuff314

Answer 8

@nincompoop

Answer 9

do you know that 75=30+45

yes ?

Answer 10

and you know that tan x = (sin x)/(cos x )

yes ?

Answer 11

yup

Answer 12

and u know again formula

sin(a+b) = ?

and

cos(a+b)=?

Answer 13

so using these you can calculi tan 75 = ? easy

ok ?

Answer 14

ok but every time i try i can never get the form i need

Answer 15

try it here please for i can check your calculi

ok ?

Answer 16

shouldn't i just use tan(a+b)?

Answer 17

you can using it the same like sin/cos

than you know the needed values for tan 30 and tan 45

and you need to know formula tan(30+45)= ?

formula tan(a+b)=?

Answer 18

\[\tan(a+b)=(\tan(a)+\tan(b))/(1-\tan(a)\tan(b))\]

Answer 19

it ends up being (sqrt(1/3)+1)/(1-sqrt(1/3))

Answer 20

ok

than just you need to know tan 30 = ?
and tan 45 = ?

Answer 21

tan(45)=1 tan(30)=sqrt3/3

Answer 22

so than you just need substitut these values inside this formula of tan (30+45)= ...

ok ?

Answer 23

i did but as i said before the answer you get is sqrt(1/3)+1/1-sqrt(1/3). the answer i need is sqrt(A)+1/sqrtB-1

Answer 24

sqrt(1/3) = ?

Answer 25

= 1/(sqrt3) = sqrt3 / 3

yes ?

Answer 26

so than will be there


sqrt3 /3 +1
------------- = ?
1 - sqrt3 /3

ok ?

Answer 27

can you continue it ?

Answer 28

the thing is i need the answer in (sqrt(a)+1)/(sqrt(b)-1) from!!!

Answer 29

yes will get the same answer than you continue

Answer 30

sqrt3 /3 +1
------------- = (sqrt3 +3)/3 / ( 3 - sqrt3)/3 = (sqrt3 +3)/(3- sqrt3)
1 - sqrt3 /3

ok ?

Answer 31

ok but the denominator should be sqrtB-1 not anything else. i am looking for B also the A in the numerator

Answer 32

do you can rationalize the denominator ?

Answer 33

but that would ruin the form. we need the sqrt there

Answer 34

you need the form of

sqrt a +1
---------
sqrt b -1

yes ?

Answer 35

yes

Answer 36

sqrt a is =sqrt b ?

Answer 37

maybe. a and b could or could not be equal

Answer 38

sqrt3 +3 (sqrt3 +3)(sqrt3 +3)
-------- = ------------------- =
3 - sqrt3 9-3


you know these values of tan 30 and tan 45 correct,right sure ?

Answer 39

yes

Answer 40

and you need getting the form

sqrt a +1
--------
sqrt b - 1

yes ?

Answer 41

yes

Answer 42

you have wrote above these

it ends up being (sqrt(1/3)+1)/(1-sqrt(1/3))

yes ?

Answer 43

so looke please from these what you have got so than you simplifie it you get the right answer

i did but as i said before the answer you get is sqrt(1/3)+1/1-sqrt(1/3). the answer i need is sqrt(A)+1/sqrtB-1

(1+sqrt3)/sqrt3 / (sqrt3 -1)/sqrt3
do you see it now ?

Answer 44

ok ?

Answer 45

no i still dont see it. what would A and B be?

Answer 46

sqrt3 +1
---------
sqrt3 - 1

Answer 47

thanks

Answer 48

my pleasure