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Mathematics 22 Online
OpenStudy (anonymous):

i need help

OpenStudy (anonymous):

help in wat

OpenStudy (anonymous):

use half angle formulas to rewrite \[\sqrt{1-\cos30 degrees/2}\]

OpenStudy (dumbcow):

\[\sin (\theta/2) = \sqrt{(1-\cos \theta)/2}\]

OpenStudy (anonymous):

using that formula o but..

OpenStudy (dumbcow):

so you can rewrite it as sin(15)

OpenStudy (anonymous):

hwo do i get there i cantsee

OpenStudy (dumbcow):

??

OpenStudy (anonymous):

what i mean the answer of the problem i sin 15 how do i get there id ont understand

OpenStudy (dumbcow):

theta = 30 so theta/2 = 30/2 = 15

OpenStudy (anonymous):

can u show that

OpenStudy (dumbcow):

show what...prove that 30/2 = 15

OpenStudy (anonymous):

no the whole process

OpenStudy (dumbcow):

well i looked up the half-angle identity for sin (theta/2) **shown above** it matches your expression except you have 30 degrees for the angle

OpenStudy (anonymous):

ok ,..?

OpenStudy (anonymous):

and

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

nee help trig= rewrite this using half angle formula sqrt{1= \cos 135 degress/2}\]

OpenStudy (dumbcow):

is that a plus or minus ?

OpenStudy (anonymous):

sorry let me rewrite it

OpenStudy (anonymous):

\[rewrtite using half aangle formulas \sqrt{1+ \cos 135 dgrees/2}\]

OpenStudy (dumbcow):

plus means its the cosine half angle formula take the given angle --> 135 divide it by 2 --> 135/2 = 67.5 answer = cos(67.5)

OpenStudy (anonymous):

so that my asnwer my teacher doesn tlike decimals

OpenStudy (dumbcow):

then write it as a fraction...the main thing is do you get the concept? find appropriate formula , then take half the angle

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

can u show me thewhole process and ow do is hwo it in fraction

OpenStudy (anonymous):

hello

OpenStudy (anonymous):

what wre u gonnaa say

OpenStudy (dumbcow):

are you serious...i showed you step by step...there is no other process you should have a reference in your book or notes showing the half-angle formulas the fraction would simply be 135/2 http://www.freemathhelp.com/trig-double-angles.html

OpenStudy (anonymous):

need help trig rewrite using half angle idnetities =1-cos210 degress/sin210 degrees

OpenStudy (anonymous):

need help trig rewrite using half angle idnetities =1-cos210 degress/sin210 degrees

OpenStudy (anonymous):

heloo

OpenStudy (dumbcow):

\[\rightarrow \frac{1-\cos 210}{\sin 210}\]

OpenStudy (anonymous):

yes i know the formula i dont know how to use it

OpenStudy (dumbcow):

please don;t message me the same thing you are posting, thanks and this is different it isn't any of the half-angle formulas

OpenStudy (anonymous):

no yes

OpenStudy (dumbcow):

\[\frac{1-\cos 210}{\sin 210} = \csc 210 - \cot 210\] not sure how else to rewrite it unless you want to use sum/difference formulas

OpenStudy (anonymous):

ok tanks

OpenStudy (anonymous):

s o how do i ewrite using half angle idnetities =1-cos210 degress/sin210 degrees

OpenStudy (anonymous):

by just saying it equals to 1-cos theta/sin theta

OpenStudy (anonymous):

???

OpenStudy (dumbcow):

umm i already answered you before regarding this question

OpenStudy (anonymous):

no i dont grasp it

OpenStudy (dumbcow):

i don't think you can rewrite using half-angle formulas look for yourself...see that the expression does not match any the formulas

OpenStudy (anonymous):

its what it says n my book

OpenStudy (anonymous):

yes it does tan theta /2

OpenStudy (anonymous):

hello

OpenStudy (dumbcow):

yes i am wrong...my ref sheet has a different but equivalent formula for tangent sorry...hey i learned something anyway, now just take half the angle

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