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Mathematics 22 Online
OpenStudy (hxkage):

--Please help--

OpenStudy (hxkage):

If 2cos theta = root 3, find the value of 2 cos theta +1 / 2 cos theta - 1

OpenStudy (hxkage):

\[2 \cos \theta + 1/ 2 \cos \theta - 1 = ?\]

imqwerty (imqwerty):

\(2cos\theta=\sqrt{3}\) divide both sides by 2 and you get this-> \(\large\frac{\cancel 2cos\theta}{\cancel 2}=\frac{\sqrt{3}}{2}\) \(cos\theta=\large\frac{\sqrt{3}}{2}\) now you got the value of \(cos\theta\) sooo just plug this value in the given expression \(2 \cos \theta + 1/ 2 \cos \theta - 1 \) to get its value

OpenStudy (hxkage):

@imqwerty Oh, thank you!

imqwerty (imqwerty):

np hokage (;

OpenStudy (hxkage):

Lawl ;D

imqwerty (imqwerty):

(/¯–‿・)/¯

OpenStudy (hxkage):

omg, why did u delete that? xD

imqwerty (imqwerty):

x'D cuz i ran outta chakra

OpenStudy (hxkage):

my fav jitsu ;D

imqwerty (imqwerty):

samee lel ;)

OpenStudy (hxkage):

damn, qwerty lel

imqwerty (imqwerty):

hahaha XD

OpenStudy (hxkage):

ooooh ^^

imqwerty (imqwerty):

:o ;)

imqwerty (imqwerty):

tso deleted it </3

TheSmartOne (thesmartone):

I'll repost it then ;p qwerty is a qt ;)<3

OpenStudy (hxkage):

so I got 4 root 3 + 1/ 4 root 3 - 1.. So now, I have to rationalize.. Yea? ;-;

TheSmartOne (thesmartone):

Btw, @hxkage welcome to OpenStudy! :D \(\bf\huge~~~~\color{#ff0000}{W}\color{#ff2000}{e}\color{#ff4000}{l}\color{#ff5f00}{c}\color{#ff7f00}{o}\color{#ffaa00}{m}\color{#ffd400}{e}~\color{#bfff00}{t}\color{#80ff00}{o}~\color{#00ff00}{O}\color{#00ff40}{p}\color{#00ff80}{e}\color{#00ffbf}{n}\color{#00ffff}{S}\color{#00aaff}{t}\color{#0055ff}{u}\color{#0000ff}{d}\color{#2300ff}{y}\color{#4600ff}{!}\color{#6800ff}{!}\color{#8b00ff}{!}\\\bf ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Made~by~TheSmartOne\) Hey there!!! Since you are new here, read this legendary tutorial for new OpenStudiers!! http://openstudy.com/study#/updates/543de42fe4b0b3c6e146b5e8

OpenStudy (hxkage):

@TheSmartOne Aww, thank ya! ;D

imqwerty (imqwerty):

i think you made a little mistake there \(2 \cos \theta + \large\frac{1}{ 2} \cos \theta - 1 \) now substituting this value that we got- \(cos\theta=\large\frac{\sqrt{3}}{2}\) \(\cancel 2 \times \large\frac{\sqrt{3}}{\cancel 2}+ \large\frac{1}{ 2}\times \large\frac{\sqrt{3}}{2}- 1 \)

OpenStudy (hxkage):

Oh yea, sorry! I'm such a careless noob at times. Thanks tho. ;-; @imqwerty

imqwerty (imqwerty):

its okay :) and np

OpenStudy (hxkage):

Actually, it was: \[\frac{ 2\cos \theta + 1 }{ 2\cos \theta - 1 }\] sorry, my bad @imqwerty

OpenStudy (hxkage):

So, I got: \[\frac{ \sqrt{3}+1 }{ \sqrt{3} - 1}\]

imqwerty (imqwerty):

oh okay what you got is all correct and now you need to rationalize the denominator

OpenStudy (hxkage):

alright, gimme a min ;-;

imqwerty (imqwerty):

kkyz

OpenStudy (hxkage):

I got (root 3 + 1) ^ 2 / 2

imqwerty (imqwerty):

correct

OpenStudy (hxkage):

Thanks, baruto! ;) Your patience is appreciated. @imqwerty

imqwerty (imqwerty):

(; yw hokage

OpenStudy (hxkage):

aha ;)

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